Difference between revisions of "LibreOffice-Suite-Math/C2/Matrices-Aligning-Equations/English-timed"
From Script | Spoken-Tutorial
Sandhya.np14 (Talk | contribs) |
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− | ||Welcome to the Spoken tutorial on LibreOffice Math. | + | ||Welcome to the '''Spoken tutorial''' on '''LibreOffice Math'''. |
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||00:04 | ||00:04 | ||
− | ||In this tutorial, we will learn how to: Write a Matrix | + | ||In this tutorial, we will learn how to: * Write a Matrix and |
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||00:08 | ||00:08 | ||
− | || | + | ||* Align equations on a particular character. |
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||00:12 | ||00:12 | ||
− | ||For this, let us first open our example Writer document that we created in our previous tutorials | + | ||For this, let us first open our example '''Writer document''' that we created in our previous tutorials- 'MathExample1.odt'. |
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||00:25 | ||00:25 | ||
− | ||Notice all the previous example formulae which we wrote using Math. | + | ||Notice all the previous example formulae which we wrote using '''Math'''. |
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||00:30 | ||00:30 | ||
− | ||Now let us scroll to the last page of the document and press Control Enter to go to a new page. | + | ||Now, let us scroll to the last page of the document and press '''Control, Enter''' to go to a new page. |
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||00:39 | ||00:39 | ||
− | ||Let us call Math by clicking Insert menu, then Object and then Formula. | + | ||Let us call '''Math''' by clicking '''Insert''' menu, then '''Object''' and then '''Formula'''. |
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||0049: | ||0049: | ||
− | ||In mathematics, a | + | ||In mathematics, a '''matrix''' is a rectangular array of numbers or symbols which are called elements. |
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||00:59 | ||00:59 | ||
− | ||Math has separate mark up to represent a | + | ||'Math' has separate '''mark up''' to represent a matrix and its '''row'''s and '''column'''s of elements. |
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||01:08 | ||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 | + | ||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. |
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||01:29 | ||01:29 | ||
− | ||We will use the markup ‘Matrix’ and include all its elements within curly brackets in the Formula Editor window. | + | ||We will use the '''markup''' ‘Matrix’ and include all its elements within curly brackets in the '''Formula Editor''' window. |
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||01:40 | ||01:40 | ||
− | ||Notice that the | + | ||Notice that the '''element'''s in a row are separated by one hash symbol. |
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||02:12 | ||02:12 | ||
− | ||They are of the same size as each element | + | ||They are of the same size as each '''element''' and hence are not scalable to the size of the matrix. |
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||02:22 | ||02:22 | ||
− | ||To solve this, we can use the words ‘Left’ and ‘Right’ | + | ||To solve this, we can use the words ‘Left’ and ‘Right’. |
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||02:28 | ||02:28 | ||
− | ||i.e.Left just before open bracket and Right before close bracket to make the brackets scalable. | + | ||i.e. 'Left', just before open bracket and 'Right', before close bracket to make the brackets scalable. |
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||02:41 | ||02:41 | ||
− | ||Let me copy and paste the next example. | + | ||Let me '''copy''' and '''paste''' the next example. |
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||02:46 | ||02:46 | ||
− | ||So a 4 | + | ||So, a '4 by 1' matrix will look like as shown on the screen. |
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||02:52 | ||02:52 | ||
− | ||Notice the scalable brackets in the Writer gray box. | + | ||Notice the scalable brackets in the '''Writer gray box'''. |
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||02:57 | ||02:57 | ||
− | ||The markup for the matrix is as shown on the screen. | + | ||The '''markup''' for the matrix is as shown on the screen. |
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||03:03 | ||03:03 | ||
− | ||Here we can also use square brackets instead of parentheses. | + | ||Here, we can also use square brackets instead of parentheses. |
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||03:09 | ||03:09 | ||
− | ||So using the matrix mark up, we can write matrices of any dimensions. | + | ||So, using the matrix '''mark up''', we can write matrices of any dimensions. |
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||03:17 | ||03:17 | ||
− | ||Now let us write an example for | + | ||Now, let us write an example for matrix addition. |
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||03:23 | ||03:23 | ||
− | ||Let us go to a new line in the Formula Editor | + | ||Let us go to a new line in the '''Formula Editor''' window. |
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||03:28 | ||03:28 | ||
− | ||We can press the Enter key twice to add two blank lines. | + | ||We can press the '''Enter''' key twice to add two blank lines. |
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||03:36 | ||03:36 | ||
− | ||First let us write two example 2 by 3 matrices side by side as shown on the screen. | + | ||First, let us write two example '2 by 3' matrices, side by side, as shown on the screen. |
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||03:54 | ||03:54 | ||
− | ||To do this, we can simply click between the gap of these two matrices in the Writer Gray box. | + | ||To do this, we can simply click between the gap of these two matrices in the '''Writer Gray box'''. |
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||04:03 | ||04:03 | ||
− | ||Notice that the cursor in the Formula Editor Window is placed roughly between the two matrix mark ups here. | + | ||Notice that the cursor in the '''Formula Editor Window''' is placed roughly between the two matrix '''mark ups''' here. |
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||04:12 | ||04:12 | ||
− | ||Type plus in between these two matrices | + | ||Type plus in between these two matrices. |
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||04:17 | ||04:17 | ||
− | ||So there is the plus symbol. | + | ||So, there is the plus symbol. |
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||04:20 | ||04:20 | ||
− | ||Next let us add an ‘equal to’ symbol at the end with long | + | ||Next, let us add an ‘equal to’ symbol at the end with long '''gap'''s. |
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||04:28 | ||04:28 | ||
− | ||And then the third matrix on the right denoting the addition. | + | ||And then, the third matrix on the right denoting the addition. |
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||04:42 | ||04:42 | ||
− | ||So there is the result of the addition of two matrices. | + | ||So, there is the result of the addition of two matrices. |
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||04:47 | ||04:47 | ||
− | ||Let us save our work. | + | ||Let us '''save''' our work. |
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||04:58 | ||04:58 | ||
− | ||We will write a 2 by 3 matrix and multiply it by 4. | + | ||We will write a '2 by 3' matrix and multiply it by 4. |
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||05:10 | ||05:10 | ||
− | ||Let me copy the matrix and paste it in FEW. | + | ||Let me '''copy''' the matrix and '''paste''' it in '''FEW'''. |
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||05:17 | ||05:17 | ||
− | ||Next let us write the ‘equal to’ symbol at the end with long | + | ||Next, let us write the ‘equal to’ symbol at the end with long '''gap'''s |
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||05:24 | ||05:24 | ||
− | || | + | ||followed by the matrix product. I am copying and pasting the '''mark up''' for the matrix product. |
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||05:33 | ||05:33 | ||
− | ||So there is the product of multiplying a 2 by 3 matrix by a number. | + | ||So, there is the product of multiplying a '2 by 3' matrix by a number. |
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||05:40 | ||05:40 | ||
− | ||Now, we can format matrices by clicking on the Format menu and choosing the font, font sizes, alignment or the spacing. | + | ||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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||05:51 | ||05:51 | ||
− | ||For example, let us choose spacing. | + | ||For example, let us choose '''spacing'''. |
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||05:55 | ||05:55 | ||
− | ||In the | + | ||In the '''Category''' drop-down, on the right, let us choose '''Matrices'''. |
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||06:02 | ||06:02 | ||
− | ||And change the line spacing to 20 percent and column spacing to 50 percent. Click OK. | + | ||And change the line '''spacing''' to 20 percent and column spacing to 50 percent. Click '''OK'''. |
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||06:23 | ||06:23 | ||
− | ||Let us save our work now by clicking on File and Save. | + | ||Let us '''save''' our work now by clicking on '''File''' and '''Save'''. |
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||06:46 | ||06:46 | ||
− | ||Let us write a set of | + | ||Let us write a set of simultaneous equations now as shown on the screen. |
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||07:03 | ||07:03 | ||
− | ||We can separate each part in the equation and treat the parts as | + | ||We can separate each part in the equation and treat the parts as '''element'''s of a matrix. |
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||07:20 | ||07:20 | ||
− | ||Press | + | ||Press '''Enter''' twice. '''Copy''' and '''paste''' the '''mark up'''. |
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||07:26 | ||07:26 | ||
− | ||And, thus the new mark up looks like as shown on the screen. | + | ||And, thus the new '''mark up''' looks like as shown on the screen. |
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||07:31 | ||07:31 | ||
− | ||Here, we have used the matrix mark up, treated each part of the equation as an element and separated them by # symbols. | + | ||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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||07:50 | ||07:50 | ||
− | ||So there is a perfectly aligned set of equations. | + | ||So, there is a perfectly aligned set of equations. |
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||07:59 | ||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. | + | ||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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||08:09 | ||08:09 | ||
− | ||Notice the equations on the screen | + | ||Notice the equations on the screen and they are not aligned on the ‘equal to’ character. |
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||08:16 | ||08:16 | ||
− | ||Let us rewrite the mark up to align them. Press | + | ||Let us rewrite the '''mark up''' to align them. Press '''Enter''' twice. I am copying and pasting the '''markup'''. |
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||08:25 | ||08:25 | ||
− | ||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. | + | ||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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||08:36 | ||08:36 | ||
− | ||And there is our perfectly aligned set of equations. | + | ||And, there is our perfectly aligned set of equations. |
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||09:04 | ||09:04 | ||
− | ||This brings us to the end of this tutorial on Matrix and Aligning equations in LibreOffice Math. | + | ||This brings us to the end of this tutorial on '''Matrix and Aligning equations''' in '''LibreOffice Math'''. |
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||09:15 | ||09:15 | ||
− | ||Write a Matrix And Align equations on a particular character | + | ||* Write a Matrix And * Align equations on a particular character. |
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||09:20 | ||09:20 | ||
− | ||Spoken Tutorial | + | ||'''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. |
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||09:32 | ||09:32 | ||
− | ||This project is | + | ||This project is coordinated by http://spoken-tutorial.org. |
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||09:40 | ||09:40 | ||
− | ||This | + | ||This script has been contributed by Priya Suresh, DesiCrew Solutions. And this is Soundharya, DesiCrew Solutions, signing off. |
− | + | Thanks for joining. | |
− | And this is | + | |
− | + | ||
− | Thanks for joining | + | |
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Revision as of 20:37, 15 October 2015
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. |
0049: | 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 font, font sizes, 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 # 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 align 'r' and align 'l' 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 fonts, 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. |