Difference between revisions of "LibreOffice-Suite-Math/C2/Matrices-Aligning-Equations/English-timed"

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|| '''Time'''
 
|| '''Time'''
 
|| '''Narration'''
 
|| '''Narration'''
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||00:00
 
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||00:08
 
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||* Align equations on a particular character.
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||Align equations on a particular character.
  
 
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||00:49
 
||In mathematics, a '''matrix''' is a rectangular '''array''' of numbers or symbols which are called '''element'''s.
 
||In mathematics, a '''matrix''' is a rectangular '''array''' of numbers or symbols which are called '''element'''s.
  
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|-
 
|-
 
||02:46
 
||02:46
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||So, a '4 by 1' matrix will look like as shown on the screen.
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||So, a '''4 by 1''' matrix will look like as shown on the screen.
  
 
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||03:36
 
||03:36
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||First, let us write two example '2 by 3' matrices, side by side, as shown on the screen.
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||First, let us write two example '''2 by 3''' matrices, side by side, as shown on the screen.
  
 
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||04:12
 
||04:12
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||Type plus in between these two matrices.
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||Type plus (+) in between these two matrices.
  
 
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||04:17
 
||04:17
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||So, there is the plus symbol.
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||So, there is the plus symbol (+).
  
 
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||04:20
 
||04:20
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||Next, let us add an ‘equal to’ symbol at the end with long '''gap'''s.
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||Next, let us add an equal to symbol (=) at the end with long '''gap'''s.
  
 
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||04:28
 
||04:28
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||And then, the third matrix on the right denoting the addition.
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||And then, the third matrix on the right, denoting the addition.
  
 
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||04:58
 
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||We will write a '2 by 3' matrix and multiply it by 4.
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||We will write a '''2 by 3''' matrix and multiply it by 4.
  
 
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||05:04
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||We will first write ‘4 times’  followed by the matrix.
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||We will first write 4 times, followed by the matrix.
  
 
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||05:17
 
||05:17
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||Next, let us write the ‘equal to’ symbol at the end with long '''gap'''s
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||Next, let us write the equal to (=) symbol at the end with long '''gap'''s
  
 
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||05:33
 
||05:33
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||So, there is the product of multiplying a '2 by 3' matrix by a number.
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||So, there is the product of multiplying a '''2 by 3''' matrix by a number.
  
 
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||05:40
 
||05:40
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||Now, we can '''format''' matrices by clicking on the '''Format''' menu and choosing the '''font, font sizes, alignment''' or the '''spacing'''.
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||Now, we can '''format''' matrices by clicking on the '''Format''' menu and choosing the '''Fonts, Font Size, Alignment''' or the '''Spacing'''.
  
 
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||05:51
 
||05:51
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||For example, let us choose '''spacing'''.
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||For example, let us choose '''Spacing'''.
  
 
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||05:55
 
||05:55
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||In the '''Category''' drop-down, on the right, let us choose '''Matrices'''.
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||In the '''Category''' drop-down, on the right, let us choose '''Matrices'''
  
 
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||06:02
 
||06:02
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||And change the line '''spacing''' to 20 percent and column spacing to 50 percent. Click '''OK'''.
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||and change the '''Line spacing''' to 20 percent and column spacing to 50 percent. Click '''OK'''.
  
 
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||06:17
 
||06:17
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||Notice how the matrices and their elements are well spaced out.
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||Notice, how the matrices and their elements are well spaced out.
  
 
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||06:37
 
||06:37
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||For example, we can write simultaneous equations and align them on the ‘equal to’ character.
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||For example, we can write simultaneous equations and align them on the '''equal to''' character.
  
 
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||06:46
 
||06:46
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||Let us write a set of simultaneous equations now as shown on the screen.
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||Let us write a set of simultaneous equations now, as shown on the screen.
  
 
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||06:52
 
||06:52
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||Notice that they are not perfectly aligned on the ‘equal to’ character.
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||Notice that they are not perfectly aligned on the '''equal to''' character.
  
 
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||06:58
 
||06:58
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||So, here we can use the matrix mark up to align them.
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||So, here we can use the matrix mark-up to align them.
  
 
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||07:10
 
||07:10
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||Here, 2x is a part, y is a part, ‘equal to’ character is a part and so on.
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||Here, '2x' is a part, 'y' is a part, '''equal to''' character is a part and so on.
  
 
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||07:31
 
||07:31
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||Here, we have used the '''matrix mark up''', treated each part of the equation as an element and separated them by # symbols.
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||Here, we have used the '''matrix mark up''', treated each part of the equation as an '''element''' and separated them by # (hash) symbols.
  
 
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||07:59
 
||07:59
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||Here, let us suppose that we don’t have equal number of parts on the left and the right of the ‘equal to’ character.
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||Here, let us suppose that we don’t have equal number of parts on the left and the right of the '''equal to''' character.
  
 
|-
 
|-
 
||08:09
 
||08:09
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||Notice the equations on the screen and they are not aligned on the ‘equal to’ character.
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||Notice the equations on the screen and they are not aligned on the '''equal to''' character.
  
 
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||08:25
 
||08:25
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||So here, we have used align 'r' and align 'l' to align the parts to the right and the left of the ‘equal to’ character.
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||So here, we have used '''alignr''' and '''alignl''' to align the parts to the right and the left of the '''equal to''' character.
  
 
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||08:43
 
||08:43
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||Write steps for multiplying a 2x3 matrix by a 3x1 matrix. Use formatting to change the fonts, sizes and the spacing.
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||Write steps for multiplying a 2x3 matrix by a 3x1 matrix. Use formatting to change the '''font sizes''' and the '''spacing'''.
  
 
|-
 
|-
 
||08:56
 
||08:56
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||Write a set of three equations. Align the equations at the ‘equal to’ character.
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||Write a set of three equations. Align the equations at the equal to (=) character.
  
 
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||09:15
 
||09:15
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||* Write a Matrix And * Align equations on a particular character.
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||Write a Matrix and * Align equations on a particular character.
  
 
|-
 
|-

Latest revision as of 10:23, 24 March 2017

Time Narration
00:00 Welcome to the Spoken tutorial on LibreOffice Math.
00:04 In this tutorial, we will learn how to: * Write a matrix and
00:08 Align equations on a particular character.
00:12 For this, let us first open our example Writer document that we created in our previous tutorials- "MathExample1.odt".
00:25 Notice all the previous example formulae which we wrote using Math.
00:30 Now, let us scroll to the last page of the document and press Control, Enter to go to a new page.
00:39 Let us call Math by clicking Insert menu, then Object and then Formula.
00:49 In mathematics, a matrix is a rectangular array of numbers or symbols which are called elements.
00:59 'Math' has separate mark up to represent a matrix and its rows and columns of elements.
01:08 I have the examples written already so as to save time. I will copy and paste them. Now, we’ll learn how to write a 2 by 3 matrix.
01:24 This matrix has 2 rows and 3 columns.
01:29 We will use the markup matrix and include all its elements within curly brackets, in the Formula Editor window.
01:40 Notice that the elements in a row are separated by one hash symbol
01:48 and the rows are separated by two hash symbols.
01:55 Use parentheses to enclose the matrix in brackets.
02:01 Now, notice that the brackets are short and do not cover all the elements in the matrix entirely.
02:12 They are of the same size as each element and hence are not scalable to the size of the matrix.
02:22 To solve this, we can use the words ‘Left’ and ‘Right’.
02:28 i.e. 'Left', just before open bracket and 'Right', before close bracket to make the brackets scalable.
02:41 Let me copy and paste the next example.
02:46 So, a 4 by 1 matrix will look like as shown on the screen.
02:52 Notice the scalable brackets in the Writer gray box.
02:57 The markup for the matrix is as shown on the screen.
03:03 Here, we can also use square brackets instead of parentheses.
03:09 So, using the matrix mark up, we can write matrices of any dimensions.
03:17 Now, let us write an example for matrix addition.
03:23 Let us go to a new line in the Formula Editor window.
03:28 We can press the Enter key twice to add two blank lines.
03:36 First, let us write two example 2 by 3 matrices, side by side, as shown on the screen.
03:46 Next, let us add a plus symbol in between these two matrices to denote addition.
03:54 To do this, we can simply click between the gap of these two matrices in the Writer Gray box.
04:03 Notice that the cursor in the Formula Editor Window is placed roughly between the two matrix mark ups here.
04:12 Type plus (+) in between these two matrices.
04:17 So, there is the plus symbol (+).
04:20 Next, let us add an equal to symbol (=) at the end with long gaps.
04:28 And then, the third matrix on the right, denoting the addition.
04:35 Notice that we have used Greek characters in our example.
04:42 So, there is the result of the addition of two matrices.
04:47 Let us save our work.
04:50 Next, let us see an example of multiplying a matrix by a number.
04:58 We will write a 2 by 3 matrix and multiply it by 4.
05:04 We will first write 4 times, followed by the matrix.
05:10 Let me copy the matrix and paste it in FEW.
05:17 Next, let us write the equal to (=) symbol at the end with long gaps
05:24 followed by the matrix product. I am copying and pasting the mark up for the matrix product.
05:33 So, there is the product of multiplying a 2 by 3 matrix by a number.
05:40 Now, we can format matrices by clicking on the Format menu and choosing the Fonts, Font Size, Alignment or the Spacing.
05:51 For example, let us choose Spacing.
05:55 In the Category drop-down, on the right, let us choose Matrices
06:02 and change the Line spacing to 20 percent and column spacing to 50 percent. Click OK.
06:17 Notice, how the matrices and their elements are well spaced out.
06:23 Let us save our work now by clicking on File and Save.
06:29 Now, we can also use matrices to write two or three equations and then align them on a particular character.
06:37 For example, we can write simultaneous equations and align them on the equal to character.
06:46 Let us write a set of simultaneous equations now, as shown on the screen.
06:52 Notice that they are not perfectly aligned on the equal to character.
06:58 So, here we can use the matrix mark-up to align them.
07:03 We can separate each part in the equation and treat the parts as elements of a matrix.
07:10 Here, '2x' is a part, 'y' is a part, equal to character is a part and so on.
07:20 Press Enter twice. Copy and paste the mark up.
07:26 And, thus the new mark up looks like as shown on the screen.
07:31 Here, we have used the matrix mark up, treated each part of the equation as an element and separated them by # (hash) symbols.
07:43 We have used the double hash symbols to separate the two equations.
07:50 So, there is a perfectly aligned set of equations.
07:56 Let us write another set of equations.
07:59 Here, let us suppose that we don’t have equal number of parts on the left and the right of the equal to character.
08:09 Notice the equations on the screen and they are not aligned on the equal to character.
08:16 Let us rewrite the mark up to align them. Press Enter twice. I am copying and pasting the markup.
08:25 So here, we have used alignr and alignl to align the parts to the right and the left of the equal to character.
08:36 And, there is our perfectly aligned set of equations.
08:41 Here is an assignment for you:
08:43 Write steps for multiplying a 2x3 matrix by a 3x1 matrix. Use formatting to change the font sizes and the spacing.
08:56 Write a set of three equations. Align the equations at the equal to (=) character.
09:04 This brings us to the end of this tutorial on Matrix and Aligning equations in LibreOffice Math.
09:11 To summarize, we learned the following topics:
09:15 Write a Matrix and * Align equations on a particular character.
09:20 Spoken Tutorial project is a part of the Talk to a Teacher project, supported by the National Mission on Education through ICT, MHRD, Government of India.
09:32 This project is coordinated by http://spoken-tutorial.org.
09:37 More information on the same is available at the following link.
09:40 This script has been contributed by Priya Suresh, DesiCrew Solutions. And this is Soundharya, DesiCrew Solutions, signing off.

Thanks for joining.

Contributors and Content Editors

Minal, PoojaMoolya, Pratik kamble, Sandhya.np14

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