LibreOffice-Suite-Math/C2/Matrices-Aligning-Equations/English-timed
From Script | Spoken-Tutorial
| 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. |
