LibreOffice-Suite-Math/C2/Matrices-Aligning-Equations/English-timed

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
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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