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

|| Time

|| Narration

||Welcome to the Spoken tutorial on LibreOffice Math.

||In this tutorial, we will learn how to: Write a Matrix

||And Align equations on a particular character

||For this, let us first open our example Writer document that we created in our previous tutorials: MathExample1.odt.

||Notice all the previous example formulae which we wrote using Math.

||Now let us scroll to the last page of the document and press Control Enter to go to a new page.

||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.

||Math has separate mark up to represent a Matrix and its rows and columns of elements.

||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.

||We will use the markup ‘Matrix’ and include all its elements within curly brackets in the Formula Editor window.

||Notice that the elements in a row are separated by one hash symbol.

||And the rows are separated by two hash symbols.

||They are of the same size as each element, and hence are not scalable to the size of the matrix.

||To solve this, we can use the words ‘Left’ and ‘Right’  

||i.e.Left just before open bracket and Right before close bracket to make the brackets scalable.

||Let me copy and paste the next example.

||So a 4 by1 matrix will look like as shown on the screen.

||Notice the scalable brackets in the Writer gray box.

||The markup for the matrix is as shown on the screen.

||Here we can also use square brackets instead of parentheses.

||So using the matrix mark up, we can write matrices of any dimensions.

||Now let us write an example for Matrix addition.

||Let us go to a new line in the Formula Editor Window.

||We can press the Enter key twice to add two blank lines.

||First let us write two example 2 by 3 matrices side by side as shown on the screen.

||To do this, we can simply click between the gap of these two matrices in the Writer Gray box.

||Notice that the cursor in the Formula Editor Window is placed roughly between the two matrix mark ups here.  

||Type plus in between these two matrices

||So there is the plus symbol.

||Next let us add an ‘equal to’ symbol at the end with long gaps

||And then the third matrix on the right denoting the addition.

||So there is the result of the addition of two matrices.

||Let us save our work.

||We will write a 2 by 3 matrix and multiply it by 4.

||We will first write ‘4 times’  followed by the matrix.

||Let me copy the matrix and paste it in FEW.

||Next let us write the ‘equal to’ symbol at the end with long gaps

||Followed by the matrix product. I am copying and pasting the mark up for the matrix product.

||So there is the product of multiplying a 2 by 3 matrix by a number.

||Now, we can format matrices by clicking on the Format menu and choosing the font, font sizes, alignment or the spacing.

||For example, let us choose spacing.

||In the category drop down on the right, let us choose Matrices.

||And change the line spacing to 20 percent and column spacing to 50 percent. Click OK.

||Notice how the matrices and their elements are well spaced out.

||Let us save our work now by clicking on File and Save.

||For example, we can write simultaneous equations and align them on the ‘equal to’ character.

||Let us write a set of Simultaneous equations now as shown on the screen.

||Notice that they are not perfectly aligned on the ‘equal to’ character.

||So, here we can use the matrix mark up to align them.

||We can separate each part in the equation and treat the parts as elements of a matrix.  

||Here, 2x is a part, y is a part, ‘equal to’ character is a part and so on.

||Press enter twice. Copy and paste the mark up.  

||And, thus the new mark up looks like as shown on the screen.

||Here, we have used the matrix mark up, treated each part of the equation as an element and separated them by # symbols.

||So there is a perfectly aligned set of equations.

||Here let us suppose that we don’t have equal number of parts on the left and the right of the ‘equal to’ character.

||Notice the equations on the screen, and they are not aligned on the ‘equal to’ character.

||Let us rewrite the mark up to align them. Press enter twice. I am copying and pasting the markup.

||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.

||And there is our perfectly aligned set of equations.

||Write steps for multiplying a 2x3 matrix by a 3x1 matrix. Use formatting to change the fonts, sizes and the spacing.

||Write a set of three equations. Align the equations at the ‘equal to’ character.

||This brings us to the end of this tutorial on Matrix and Aligning equations in LibreOffice Math.

||Write a Matrix And Align equations on a particular character

||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.  

||This project is co-ordinated by http://spoken-tutorial.org.  

||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. 

 

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