Difference between revisions of "LibreOffice-Suite-Math-6.3/C2/Matrices-and-Aligning-equations/English"
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− | || Now let us now see what ''' matrix''' is? | + | || Now let us now see what a''' matrix''' is? |
'''Matrix ''' is a rectangular '''array '''of numbers or symbols, called '''elements'''. | '''Matrix ''' is a rectangular '''array '''of numbers or symbols, called '''elements'''. | ||
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− | Note that LHS ad RHS do not | + | Note that LHS ad RHS do not show equal number of parts. |
Latest revision as of 12:58, 8 September 2022
Title: Matrices and Aligning Equations
Keywords: Libreoffice Math, Libreoffice Writer, Matrices, equations, align, format, addition, equations, multiplication, spoken tutorial, video tutorial.
Visual Cue | Narration |
Slide:Title Slide | Welcome to this spoken tutorial on Matrices and Aligning Equations. |
Slide:
Learning Objectives |
In this tutorial, we will learn how to:
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Slide:
System Requirements |
This tutorial is recorded using:
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Slide:
Prerequisites https:\\spoken-tutorial.org |
To follow this tutorial, learner should be familiar with Math interface.
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Slide:
Code Files |
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Open the MathExample1.odt | Let us first open the MathExample1.odt file. |
Pause in each page for a few seconds.
Scroll to the next page and repeat.
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Notice all the previous example formulae which we had written using Math.
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Type Matrices and Aligning Equations | On the new page, type Matrices and Aligning Equations. |
Insert menu >> select Object.
From the submenu >> select Formula option.
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Now let us call the Math application inside Writer.
From the sub-menu, select Formula option. |
Click on Format >> Select Font size.
In the Font sizes dialog box change the Base Size to 18 pt. Click OK button Click on Format >> Select Alignment >> Click Left option. Click OK button |
Let us change the font size to 18 point and alignment to Left. |
Slide:
Matrix
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Now let us now see what a matrix is?
Matrix is a rectangular array of numbers or symbols, called elements.
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Show the text editor with examples. | I have written a few examples of matrices in a text editor.
I will copy and paste them to save time. |
Highlight in Formula Editor.
"Example of a 2x3 Matrix:" newline newline A ~=~ ( matrix {a # b # c ## d # e# f } ) newline newline |
This is a matrix markup for a 2 by 3 matrix.
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Highlight in Formula Editor.
Point mouse over matrix word.
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We have used the matrix markup.
We have included its elements in curly brackets.
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Point to the Parentheses.
Point to the elements.
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Notice that the parentheses are short.
They do not enclose all the elements of the matrix.
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Point to the elements and parentheses.
Type Left just before ( character and Right before ) character in the formula |
To make the parentheses scalable, we will use Left and Right keywords.
Type Right before closing the parenthesis. |
Point to the Writer gray box | Notice that parentheses have now enclosed all the elements. |
Highlight in Formula Editor.
"Example of 4x1 Matrix: " newline newline B ~=~ Left ( matrix {1##2##3##4} Right ) newline newline
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Next we will see another example matrix.
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Point to the Writer gray box | Notice that parentheses have enclosed all the elements. |
Change () to [ ]
B ~=~ Left [ matrix {1##2##3##4} Right ] newline newline
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Here we can also use square brackets instead of parentheses.
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Highlight in Formula editor.
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Let us now write an example for matrix addition.
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Copy and paste:
"Example of 2x3 Matrix Addition:" newline newline Left( matrix {a # b # c ## d # e# f } Right) Left( matrix {%alpha # %beta # %gamma ## %theta # %eta # %mu } Right) |
Let us write two 2 by 3 matrices one beside the other as shown on the screen.
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Click in between the gap of these two matrices.
Type ~+~ in between these two matrices
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Next, let us add a plus sign in between the two matrices to denote addition.
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Type ~=~ at the end of the last line. | Next let us add an ‘equal to’ symbol at the end with a blank format. |
Copy and paste at the end:
Left( matrix {a+%alpha # b+%beta # c+%gamma ## d+%theta # e+%eta # f+%mu } Right) newline newline
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The third matrix on the right denotes the addition.
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Click Save icon on Standard toolbar. | Let us now save the file. |
Copy and paste:
"Example of Matrix Multiplication with a number: " newline newline 4 times Left( matrix {%alpha # %beta # %gamma ## %theta # %eta # %mu } Right) |
Next, let us see an example of multiplying a matrix with a number.
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Type ~=~ at the end. | Let us write the ‘equal to’ symbol at the end with a blank space. |
Copy and paste at the end:
Left( matrix {4%alpha # 4%beta # 4%gamma ## 4%theta # 4%eta # 4%mu } Right) newline newline newline
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This is the markup for the matrix product.
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Click on Format, and point on the sub menu slowly one by one. | Now, we will format the matrices.
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Click on the Spacing option.
Line Spacing field 3% Column spacing field 30%
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Let us choose the Spacing option.
Spacing dialog box opens. |
Click on the Category drop down at the bottom, and choose Matrices
Change Line spacing to 20%, Column spacing to 40%
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In the Category drop down, let us choose Matrices.
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Point in the Writer gray box | Notice that the matrices and their elements are properly spaced. |
Slide:
Assignment |
Pause the video and do this assignment.
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Only narration | Now, we will use matrices to write simultaneous equations and align them. |
Press Ctrl and Enter keys. | Press Ctrl and Enter keys to go to a new page. |
Insert menu >> select Object.
From the submenu >> select Formula option.
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Let us open the Math application.
From the submenu, select Formula. |
Click on Format >> Select Font size.
In the Font sizes dialog box change the Base Size to 18 pt. Click OK button |
Let us change the font size to 18 point. |
In Formula Editor Window, press Enter, key twice,
Copy and paste: "Simultaneous Equations: " newline newline 2x+y = 8 newline x+y=6 newline newline |
Let us now write a set of Simultaneous equations as shown on the screen.
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Point mouse over the last formula Write Gray box
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Notice that they are not aligned at the plus sign and equal to character.
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Press Enter | Press Enter key. |
In Formula Editor Window, Press Enter, twice, copy and paste:
matrix { 2x # {}+{} # y # {}={} # 8 ## x # {}+{} # y # {}={} # 6 }
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This is a new set of matrix markup.
Also note that a hash symbol is used to separate each element of this equation.
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In the Writer gray box | This is a perfectly aligned set of equations. |
Let us write another set of equations. | |
In Formula Editor Window,, press Enter twice, copy and paste:
newline newline x+y=2 newline x=2-y newline newline
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Notice the equations on the screen.
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In Formula editor window, press Enter, twice, copy and paste:
matrix{ alignr x+y # {}={} # alignl 2 ## alignr x # {}={} # alignl 2-y }
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Let us write the matrix markup to align them.
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Point to the equatios. | Here we have used alignr and alignl to align the parts.
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Ctrl + S | Let us now save the changes. |
Narration only: | With this we come to the end of this tutorial.
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Slide:
Summary |
In this tutorial we have learnt how to:
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Slide:
Assignment |
Here is an assignment for you:
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Slide:
About Spoken Tutorial Project |
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Slide:
Spoken tutorial workshops |
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Slide:
Answers for THIS Spoken Tutorial |
Please post your Timed queries in this forum. |
Slide:
Acknowledgement |
The Spoken Tutorial project is funded by the Ministry of Education, Govt. of India. |
Slide: Thank you
Acknowledgement to DesiCrew |
This tutorial was originally contributed by DesiCrew Solutions Pvt. Ltd. in 2011
This is Madhuri Ganapathi along with the Spoken Tutorial team from IIT Bombay. Thank you for watching. |