Scilab/C2/Matrix-Operations/English-timed - Revision history

Sandhya.np14 at 11:23, 19 February 2015

2015-02-19T11:23:07Z

Sandhya.np14 at 09:52, 19 February 2015

2015-02-19T09:52:24Z

Sandhya.np14 at 06:45, 19 February 2015

2015-02-19T06:45:15Z

Gaurav at 11:05, 10 July 2014

2014-07-10T11:05:16Z

Gaurav at 11:04, 10 July 2014

2014-07-10T11:04:54Z

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Ranjana at 11:17, 20 March 2014

2014-03-20T11:17:44Z

PoojaMoolya at 09:19, 6 March 2014

2014-03-06T09:19:32Z

PoojaMoolya at 09:17, 6 March 2014

2014-03-06T09:17:26Z

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Jyotisolanki at 08:49, 27 December 2013

2013-12-27T08:49:45Z

Sneha: Created page with ' {| Border=1 || Time || Narration |- | 00.03 | | Welcome to the spoken tutorial on Matrix Operations. |- |00.07 | | At the end of this spoken tutorial, you will be able …'

2012-12-13T06:14:48Z

Created page with ' {| Border=1 || Time || Narration |- | 00.03 | | Welcome to the spoken tutorial on Matrix Operations. |- |00.07 | | At the end of this spoken tutorial, you will be able …'

New page

{| Border=1

|| Time

|| Narration

|-

| 00.03

| | Welcome to the spoken tutorial on Matrix Operations.

|-

|00.07

| | At the end of this spoken tutorial, you will be able to:

|-

| 00.10

| | Access the elements of Matrix

|-

| 00.13

| |Determine the determinant, inverse and eigen values of a matrix.

|-

| 00.19

| |Define special matrices.

|-

| 00.23

| | Perform elementary row operations.

|-

| 00.25

| | Solve the system of “linear equations”.

|-

|00.29

| | The preequisites are

|-

| 00.31

| |Scilab should be installed on your system.

|-

| 00.34

| |''You should have listened to the Spoken Tutorial: Getting started with Scilab and '''Vector Operations.

|-

| 00.42

| |I am using Windows 7 operating system and Scilab 5.2.2 for demonstration.

|-

| 00.50

| | Start Scilab by double-clicking on the Scilab icon present on yourDesktop.

|-

| 00.59

| |It is suggested '''that '''the user should''' practice this tutorial in Scilab simultaneously while pausing the video at regular intervals of time.'''

|-

| 01.09

| | Recall that in the Spoken Tutorial, 'Vector Operations',

|-

| 01.12

| | matrix E was defined as E = [5 19 15;8 22 36]and press enter

|-

| 01.37

| |Let us now see how to address individual elements of a matrix, separately.

|-

| 01.42

| |To access the element in the first row and second column, type: E(1,2) and press enter

|-

| 01.56

| | It is easy to extract an entire row or an entire column of a matrix in Scilab .

|-

| 02.03

| |For example, first row of E can be obtained using the following command: E1 = E(1,:) and press enter

|-

| 02.24

| |The command returns all the elements of the first row in the order of their appearance in the row.

|-

| 02.30

| |Colon, when used alone, refers to all the elements of row or column, depending upon whether it appears as a first or a second entry respectively inside the bracket.

|-

| 02.44

| | Also, any subset of a matrix can be extracted using a colon (“:”).

|-

| 02.49

| |For example, the set of elements starting from second to third columns of E can be obtained using the following command:

|-

| 03.01

| |-->E2 = E(:,2:3) close the bracket and press enter

|-

| 03.18

| |In the above, the second entry in the bracket, that is, "2 colon 3" makes a reference to elements from column 2 to column 3.

|-

|03.28

| | If the size of the matrix is not known $ symbol can be used to extarct the last row or column of that matrix.

|-

| 03.38

| |For example to extract all rows of the last column of the matrix E, we will type

|-

| 03.46

| |--->E last column = E(:,$) close the bracket and press enter

|-

| 04.06

| |Now, let us learn how to calculate the determinant of a square matrix using the command “det”

|-

| 04.13

| |Recall that in the Spoken Tutorial, Vector Operations, we had defined A as

|-

| 04.20

| |A=[1 2 - 1; - 2 - 6 4; - 1 - 3 3] close the square bracket and press enter

|-

| 04.50

| |Let us calculate the determinant of A by the command det(A) and press Enter.

|-

| 05.00

|| To calculate the inverse and the eigenvalues of a matrix, the commands, “inv” and “spec” respectively, can be used.

|-

| 05.09

|| For example: inv(A) gives the inverse of A and spec(A) gives the eigen values of A

|-

| 05.29

| |See 'help spec' to see how eigenvectors can also be obtained using this command.

|-

| 05.35

| |Square or cube of a square matrix A can be calculated by simply typing A^2 or A^3 '''respectively'''.

|-

| 05.52

| |A caret symbol is used to raise a matrix to power, like in ordinary arithmetic operations. In our keyboard, it is obtained by pressing shift+6.

|-

| 06.05

| | '''Please pause the tutorial now and attempt exercise number one given with the video.'''

|-

| 06.18

| | Certain special matrices can also be created in Scilab:

|-

| 06.24

| |For example a matrix of zeros with 3 rows and 4 columns can be created using “zeros” command

|-

| 06.36

| |zeros(3,4) and press enter

|-

| 06.48

| |A matrix of all ones can be created with “ones” command as follows

|-

| 06.53

| |ones(2,4) gives a matrix of all ones

|-

| 07.02

| |It is easy to create an identity matrix using “eye” command:

|-

| 07.07

| |eye(4,4) gives a 4 by 4 identity matrix

|-

| 07.17

| |A user may need a matrix consisting of pseudo random numbers. It can be generated using the “rand” command as follows:

|-

| 07.25

| |p=rand(2,3) and press enter

|-

| 07.39

| | In linear systems, one of the important sets of operations a user carries out on matrices are the elementary row and column operations.

|-

| 07.55

| |These operations involve executing row operations on a matrix to make entries below a nonzero number, zero. This can be done easily in Scilab.

|-

| 08.08

| |Recall that in the Spoken Tutorial,Vector Operations, we had defined the matrix P as follows.

|-

| 08.18

| |P = [1 2 3;4 11 6]close the square bracket and press enter

|-

| 08.34

| |Let us consider an example where the element in the second row, first column is to be transformed to zero using elementary row and column operation.

|-

| 08.45

| |The operation can be executed by multiplying the first row by 4 and subtracting it from the second row as in the following command:

|-

| 08.57

| |P(2,:) = P(2,:) - 4*P(1,:) and press enter

|-

| 09.29

| The procedure can be extended to larger systems and to other forms of elementary column operations.

|-

| 09.35

| |Rows and columns can be easily appended to matrices.

|-

| 09.39

| |For example, to append a row containing [5 5 -2] to P, the following command is used:

|-

|09.49

| |T = [P; [5 5 -2]] close both the square bracket and press enter

|-

| 10.15

| |The semicolon after P states that the anything after it should go to the next row. '

|-

| 10.20

| |This is expected in the way a matrix is defined.

|-

| 10.24

| |As an exercise, please pause here and check if the brackets around the new row, in the command just executed, are really required.

|-

| 10.34

| |Matrix notations are used while solving equations.

|-

| 10.41

|| Let us solve the following set of linear equations:

|-

| 10.44

| |x1 + 2 x2 − x3 = 1

|-

| 10.48

| |− 2 x1 − 6 x2 + 4 x3 = − 2

|-

| 10.54

| |− x1 − 3 x2 + 3 x3 = 1

|-

| 11.00

| |The above set of equations can be written in the Ax = b form.

|-

| 11.05

| | The solution is then given as inverse of A times b

|-

| 11.11

| |Let us solve the set of equations.

|-

| 11.15

| |A is defined as A = [1 2 -1;-2 -6 4;-1 -3 3] close the square bracket and press enter

|-

| 11.46

| |B can be defined as b = [1;-2;1]close the square bracket and press enter

|-

| 12.04

| |The solution, x, can be obtained using x = inv(A)*b

|-

| 12.20

| |It is worth noting that it is a small letter 'i' in the command, 'inv'.

|-

| 12.27

| |Alternatively, the same result can be achieved using a backslash operation in Scilab.

|-

| 12.33

| |Lets do this in Scilab x = A\b and press enter.

|-

| 12.45

| |It gives the same result. Type "help backslash" and "help inv" in Scilab to know more about individual advantages and disadvantages.

|-

| 12.55

| |The integrity of the solution can be verified by back substitution, that is, by calculating Ax-b:

|-

|13.05

|A*x-b

|-

| 13.10

| |The above exercise verifies the result achieved earlier.

|-

| 13.14

| |It is possible that in some systems the above verification exercise may not yield a matrix with *exact* zeros as its elements due to intermediate floating point operations.

|-

| 13.27

| |However, one will indeed get a very small number, typically of the order of 10 raised to -16

|-

| 13.35

| '''Please pause the tutorial now and attempt exercise number two given with the video.'''

|-

| 13.49

| '''This brings us to the end of this spoken tutorial on Matrix Operation.'''

|-

| 13.54

| |'''There are many other functions in Scilab which will be covered in other spoken tutorials.

|-

| 13.59

| Keep watching the Scilab links.'''

|-

| 14.02

| |'''In this tutorial we have learnt'''

|-

| 14.04

| | '''To access the element of the matrix using the colon operator'''

|-

| 14.08

| | '''Calculate the inverse of a matrix using the 'inv' command or by backslash'''

|-

| 14.14

| |'''Calculate the derterminant of matrix using 'det' command.'''

|-

| 14.19

| | '''Calculate eigen values of a matrix using 'spec' command.'''

|-

| 14.24

| | '''Define a matrix having all the elements one, Null Matrix,

|-

| 14.29

| Identity matrix and a matrix with random elements by using functions ones(), zeros(), eye(), rand() respectively'''

|-

| 14.39

| | '''Solve the system of linear equations.'''

|-

| 14.43

| | '''This spoken tutorial has been created by the Free and Open Source Software in Science and Engineering Education(FOSSEE). '''

|-

| 14.51

| | '''More information on the FOSSEE project could be obtained from [http://fossee.in/ http://fossee.in] or [http://scilab.in/ ] '''

|-

| 14.59

| | '''Supported by the National Mission on Eduction through ICT, MHRD, Government of India. '''

|-

| 15.05

| | '''For more information, visit: [http://spoken-tutorial.org/NMEICT-Intro http://spoken-tutorial.org/NMEICT-Intro] '''

|-

| 15.15

| |'''This is Anuradha Amrutkar from IIT Bombay signing off.'''

|-

|

| |'''Thank you for joining. Goodbye.'''

|}

@@ Line 351: / Line 351: @@
 |09:48
-| |T =  open square bracket P semicolon, open another square bracket write down  the elements 5 5 -2 close both the square bracket and press enter
+| |T =  open square bracket P semicolon, open another square bracket write down  the elements 5 5 -2 close both the square brackets and press Enter.
 |-
@@ Line 357: / Line 357: @@
 | 10:14
-| |The semicolon after P states that  anything after it should go to the next row. '
+| |The semicolon after P states that anything after it should go to the next row.
 |-
@@ Line 405: / Line 405: @@
 | 11:00
-| |The above set of equations can be written in the Ax = b form.
+| |The above set of equations can be written in  Ax = b form.
 |-
@@ Line 411: / Line 411: @@
 | 11:05
-| | The solution is then given as inverse of A times b
+| | The solution is then given as inverse of A times b.
 |-
@@ Line 423: / Line 423: @@
 | 11:15
-| |A is defined as A =  open square bracket 1 space  2 space  -1 semicolon -2 space -6 space 4 semicolon -1 space  -3 space  3 close the square bracket and press enter
+| |A is defined as A =  open square bracket 1 space  2 space  -1 semicolon -2 space -6 space 4 semicolon -1 space  -3 space  3 close the square bracket and press Enter.
 |-
@@ Line 429: / Line 429: @@
 | 11:46
-| |B can be defined as b  is equal toSquare bracket 1 semicoln -2 semicolon 1 close the square bracket and press enter
+| |B can be defined as b  is equal to square bracket 1 semicolon -2 semicolon 1 close the square bracket and press Enter.
 |-
@@ Line 435: / Line 435: @@
 | 12:04
-| |The solution, x, can be obtained using x = inv  of A multiplied by b
+| |The solution, x, can be obtained by using x = inv  of A multiplied by b.
 |-
@@ Line 441: / Line 441: @@
 | 12:19
-| |It is worth noting that it is a small letter 'i' in the command, 'inv'.
+| |It is worth noting that it is a small letter 'i' in the command, '''inv'''.
 |-
@@ Line 447: / Line 447: @@
 | 12:26
-| |Alternatively, the same result can be achieved using a backslash operation in Scilab.
+| |Alternatively, the same result can be achieved using a '''backslash operation''' in Scilab.
 |-
@@ Line 453: / Line 453: @@
 | 12:33
-| |Lets do this in Scilab x  is equal to A backslash b and press enter.
+| |Let's do this in Scilab: x  is equal to A backslash b and press Enter.
 |-
@@ Line 459: / Line 459: @@
 | 12:44
-| |It gives the same result. Type "help backslash" and "help inv" in Scilab to know more about individual advantages and disadvantages.
+| |It gives the same result. Type '''help backslash''' and '''help inv''' in Scilab to know more about individual advantages and disadvantages.
 |-
@@ Line 495: / Line 495: @@
 | 13:34
-| Please pause the tutorial now and attempt exercise number two given with the video.
+| Please pause the tutorial now and attempt exercise number two given in the video.
 |-
@@ Line 501: / Line 501: @@
 | 13:49
-| This brings us to the end of this spoken tutorial on Matrix Operation.
+| This brings us to the end of this spoken tutorial on '''MatrixOperation'''.
 |-

@@ Line 207: / Line 207: @@
 | 05:09
-|| For example: inv of A  gives the inverse of A and spec of A gives the eigen values of  matrix A
+|| For example: inv of A  gives the inverse of A and spec of A gives the '''eigen values''' of  matrix A.
 |-
@@ Line 213: / Line 213: @@
 | 05:29
-| |See 'help spec' to see how eigenvectors can also be obtained using this command.
+| |See '''help spec''' to see how '''eigen vectors''' can also be obtained using this command.
 |-
@@ Line 219: / Line 219: @@
 | 05:35
-| |Square or cube of a square matrix A can be calculated by simply typing A square  or A cube '''respectively'''.
+| |'''Square''' or '''cube''' of a square matrix A can be calculated by simply typing '''A square'''  or '''A cube '''respectively.
 |-
@@ Line 231: / Line 231: @@
 | 06:05
-| |Please pause the tutorial now and attempt the exercise number one given with the video.
+| |Please pause the tutorial now and attempt the exercise number one given in the video.
 |-
@@ Line 237: / Line 237: @@
 | 06:17
-| | Certain special matrices can also be created in Scilab:
+| | Certain special matrices can also be created in Scilab.
 |-
@@ Line 243: / Line 243: @@
 | 06:24
-| |For example a matrix of zeros with 3 rows and 4 columns can be created using “zeros” command
+| |For example, a matrix of zeros with 3 rows and 4 columns can be created using '''zeros''' command
 |-
@@ Line 249: / Line 249: @@
 | 06:36
-| |zeros into bracket 3 comma 4  and press enter
+| |zeros into bracket 3 comma 4  and press Enter.
 |-
@@ Line 255: / Line 255: @@
 | 06:47
-| |A matrix of all ones can be created with “ones” command as follows
+| |A matrix of all ones can be created with '''ones''' command as follows:
 |-
@@ Line 261: / Line 261: @@
 | 06:53
-| |ones into bracket 2 comma 4  gives a matrix of all ones
+| |ones into bracket 2 comma 4  gives a matrix of all ones.
 |-
@@ Line 267: / Line 267: @@
 | 07:01
-| |It is easy to create an identity matrix using the  “eye” command:
+| |It is easy to create an '''identity matrix''' using the  '''eye''' command:
 |-
@@ Line 273: / Line 273: @@
 | 07:07
-| ' e y e' of 4 comma 4 gives a 4 by 4 identity matrix
+| ' e y e' of 4 comma 4 gives a 4 by 4 identity matrix.
 |-
@@ Line 279: / Line 279: @@
 | 07:16
-| |A user may need a matrix consisting of pseudo random numbers. It can be generated using the “rand” command as follows:
+| |A user may need a matrix consisting of pseudo random numbers. It can be generated using the '''rand''' command as follows:
 |-
@@ Line 285: / Line 285: @@
 | 07:25
-| |p=rand into bracket 2, 3  and press enter
+| |p=rand into bracket 2, 3  and press Enter
 |-
@@ Line 303: / Line 303: @@
 | 08:07
-| |Recall that in the Spoken Tutorial,Vector Operations, we had defined the matrix P as follows.
+| |Recall that in the Spoken Tutorial '''Vector Operations''', we had defined the matrix P as follows.
 |-
@@ Line 309: / Line 309: @@
 | 08:17
-| |P = open square bracket 1 space 2 space 3  semicolon 4 space 11 space 6  close the square bracket and press enter
+| |P = open square bracket 1 space 2 space 3  semicolon 4 space 11 space 6  close the square bracket and press Enter.
 |-
@@ Line 327: / Line 327: @@
 | 08:56
-| |P into bracket 2 comma colon is equal to  P into bracket 2 comma colon  minus 4 multiplied by P into bracket 1 comma colon and press enter
+| |P into bracket 2 comma colon is equal to  P into bracket 2 comma colon  minus 4 multiplied by P into bracket 1 comma colon and press Enter.
 |-
@@ Line 471: / Line 471: @@
 |13:05
-|A multiplied by x minus b
+|A multiplied by x minus b.
 |-
@@ Line 489: / Line 489: @@
 | 13:27
-| |However, one will indeed get a very small number, typically of the order of 10 raised to -16
+| |However, one will indeed get a very small number, typically of the order of 10 raised to -16.
 |-
@@ Line 519: / Line 519: @@
 | 14:02
-| |In this tutorial we have learnt
+| |In this tutorial we have learnt:
 |-
@@ Line 525: / Line 525: @@
 | 14:04
-| | To access the element of the matrix using the colon operator
+| |* To access the element of the matrix using the colon operator.
 |-
@@ Line 531: / Line 531: @@
 | 14:07
-| | Calculate the inverse of a matrix using the 'inv' command or by backslash
+| |* Calculate the inverse of a matrix using the '''inv''' command or by backslash.
 |-
@@ Line 537: / Line 537: @@
 | 14:14
-| |Calculate the derterminant of matrix using 'det' command.
+| |* Calculate the determinant of matrix using '''det''' command.
 |-
@@ Line 543: / Line 543: @@
 | 14:18
-| |Calculate eigen values of a matrix using 'spec' command.
+| |* Calculate '''eigen values''' of a matrix using '''spec''' command.
 |-
@@ Line 549: / Line 549: @@
 | 14:23
-| |Define a matrix having all the elements one, Null Matrix,  Identity matrix and a matrix with random elements by using functions ones(), zeros(), eye(), rand() respectively
+| |Define a matrix having all the elements one, Null Matrix,  Identity matrix and a matrix with random elements by using functions '''ones(), zeros(), eye(), rand()''' respectively.
 |-
@@ Line 561: / Line 561: @@
 | 14:42
-| |This spoken tutorial has been created by the Free and Open Source Software in Science and Engineering Education(FOSSEE).
+| |This spoken tutorial: has been created by the Free and Open Source Software in Science and Engineering Education(FOSSEE),
 |-
@@ Line 585: / Line 585: @@
 | 15:14
-| |This is Anuradha Amrutkar from IIT Bombay signing off.
+| |This is Anuradha Amrutkar from IIT Bombay, signing off.
 |-

@@ Line 9: / Line 9: @@
 | 00:02
-| | Welcome to the spoken tutorial on Matrix Operations.
+| | Welcome to the spoken tutorial on '''Matrix Operations'''.
 |-
@@ Line 21: / Line 21: @@
 | 00:10
-| | Access the elements of Matrix
+| |* Access the elements of Matrix
 |-
@@ Line 27: / Line 27: @@
 | 00:13
-| |Determine the determinant, inverse and eigen values of a matrix.
+| |* Determine the determinant, inverse and eigen values of a matrix.
 |-
@@ Line 33: / Line 33: @@
 | 00:18
-| |Define special matrices.
+| |* Define special matrices.
 |-
@@ Line 39: / Line 39: @@
 | 00:22
-| | Perform elementary row operations.
+| |* Perform elementary row operations.
 |-
@@ Line 45: / Line 45: @@
 | 00:25
-| | Solve the system of “linear equations”.
+| |* Solve the system of '''linear equations'''.
 |-
@@ Line 51: / Line 51: @@
 |00:28
-| | The prerequisites are
+| | The prerequisites are:
 |-
@@ Line 63: / Line 63: @@
 | 00:34
-| |''You should have listened to the Spoken Tutorial: Getting started with Scilab and '''Vector Operations.
+| |You should have listened to the Spoken Tutorial: '''Getting started with Scilab''' and '''Vector Operations'''.
 |-
@@ Line 69: / Line 69: @@
 | 00:42
-| |I am using Windows 7 operating system and Scilab 5.2.2 for demonstration.
+| |I am using '''Windows 7''' operating system and '''Scilab 5.2.2''' for demonstration.
 |-
@@ Line 87: / Line 87: @@
 | 01:08
-| | Recall that in the Spoken Tutorial, 'Vector Operations',
+| | Recall that in the Spoken Tutorial: '''Vector Operations''',
 |-
@@ Line 93: / Line 93: @@
 | 01:12
-| | matrix E was defined as E is equal to open square bracket 5 space 19 space 15 semicolon 8  space 22 space  36 close the square bracket and press enter
+| | matrix E was defined as E is equal to open square bracket 5 space 19 space 15 semicolon 8 space 22 space 36 close the square bracket and press Enter.
 |-
@@ Line 117: / Line 117: @@
 | 02:03
-| |For example, first row of E can be obtained using the following command: E1 = E into bracket 1 comma colon and press enter
+| |For example, first row of E can be obtained using the following command: E1 = E into bracket 1 comma colon and press Enter.
 |-
@@ Line 123: / Line 123: @@
 | 02:23
-| |The command returns all the elements of the first row in the order of their appearance in the row.
+| |The command returns all the elements of the first row, in the order of their appearance in the row.
 |-
@@ Line 129: / Line 129: @@
 | 02:30
-| |Colon, when used alone, refers to all the elements of row or column, depending upon whether it appears as a first or a second entry respectively inside the bracket.
+| |'''Colon''', when used alone, refers to all the elements of row or column, depending upon whether it appears as a first or a second entry respectively inside the bracket.
 |-
@@ Line 147: / Line 147: @@
 | 03:00
-| E2 = E of colon comma 2 colon 3 close the bracket and press enter
+| E2 = E of colon comma 2 colon 3 close the bracket and press Enter.
 |-
@@ Line 159: / Line 159: @@
 |03:28
-| | If the size of the matrix is not known $ (dollar ) symbol can be used to extarct the last row or column of that matrix.
+| | If the size of the matrix is not known, '''$ '''(dollar ) symbol can be used to extract the last row or column of that matrix.
 |-
@@ Line 171: / Line 171: @@
 | 03:46
-| Elast col= E into brackets colon comma dollar sign close the bracket and press enter
+| Elast col= E into brackets colon comma dollar sign close the bracket and press Enter.
 |-
@@ Line 177: / Line 177: @@
 | 04:06
-| |Now, let us learn how to calculate the determinant of a square matrix using the command “det”
+| |Now, let us learn how to calculate the '''determinant''' of a '''square matrix''' using the command '''det'''.
 |-
@@ Line 183: / Line 183: @@
 | 04:13
-| |Recall that in the Spoken Tutorial, Vector Operations, we had defined A as
+| |Recall that in the Spoken Tutorial, '''Vector Operations''', we had defined A as
 |-
@@ Line 189: / Line 189: @@
 | 04:19
-| |A = open square bracket 1 space 2 space minus 1 semicolon  -2 space  - 6 space 4 semicolon -1 space  -3 space 3 close the square bracket and press enter
+| |A = open square bracket 1 space 2 space minus 1 semicolon  -2 space  - 6 space 4 semicolon -1 space  -3 space 3 close the square bracket and press Enter.
 |-
@@ Line 195: / Line 195: @@
 | 04:50
-| |Let us calculate the determinant of A by the command det of A  and press Enter.
+| |Let us calculate the determinant of A by the command '''det of A'''  and press Enter.
 |-
@@ Line 201: / Line 201: @@
 | 05:00
-|| To calculate the inverse and the eigenvalues of a matrix, the commands, “inv” and “spec” respectively, can be used.
+|| To calculate the '''inverse''' and the '''eigen values''' of a matrix, the commands '''inv''' and '''spec''' can be used respectively.
 |-

← Older revision		Revision as of 11:05, 10 July 2014
Line 550:		Line 550:

	\| \|Define a matrix having all the elements one, Null Matrix, Identity matrix and a matrix with random elements by using functions ones(), zeros(), eye(), rand() respectively		\| \|Define a matrix having all the elements one, Null Matrix, Identity matrix and a matrix with random elements by using functions ones(), zeros(), eye(), rand() respectively
−

	\|-		\|-

@@ Line 51: / Line 51: @@
 |00.28
-| | The preequisites are
+| | The prerequisites are
 |-

@@ Line 81: / Line 81: @@
 | 00.59
-| |It is suggested '''that '''the user should''' practice this tutorial in Scilab simultaneously while pausing the video at regular intervals of time.'''
+| |It is suggested that the user should practice this tutorial in Scilab simultaneously while pausing the video at regular intervals of time.
 |-
@@ Line 231: / Line 231: @@
 | 06.05
-| | '''Please pause the tutorial now and attempt the exercise number one given with the video.'''
+| |Please pause the tutorial now and attempt the exercise number one given with the video.
 |-

@@ Line 1: / Line 1: @@
 {| Border=1
@@ Line 191: / Line 190: @@
 | 04.20
-| |A=[1 2 - 1; - 2 - 6 4; - 1 - 3 3] close the square bracket and press enter
+| |A=[1 2 -1; -2 - 6 4; -1 -3 3] close the square bracket and press enter
 |-
@@ Line 329: / Line 328: @@
 | 08.57
-| |P(2,:) = P(2,:) - 4*P(1,:) and press enter
+| |P(2,:) = P(2,:) -4*P(1,:) and press enter
 |-
@@ Line 395: / Line 394: @@
 | 10.48
-| |− 2 x1 − 6 x2 + 4 x3 = − 2
+| |−2 x1 − 6 x2 + 4 x3 = −2
 |-