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

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Revision as of 15:51, 9 July 2014

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
00:08 And 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 the 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 by1 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 co-ordinated by http://spoken-tutorial.org.
09:37 More information on the same is available at the following link.
09:40 This tutorial has been contributed by ...............................(Name of the translator and narrator)

And this is -----------------------(name of the recorder) from --------------------------(name of the place)signing off. Thanks for watching.

Thanks for joining

Contributors and Content Editors

Minal, PoojaMoolya, Pratik kamble, Sandhya.np14