Difference between revisions of "LibreOffice-Suite-Math-6.3/C2/Matrices-and-Aligning-equations/English"

Learning Objectives

• Write a matrix
• Format the matrices
• Align the equations

System Requirements

• Ubuntu Linux OS version 18.04 and
• LibreOffice Suite version 6.3.5

Prerequisites

https:\\spoken-tutorial.org

If not please access the relevant tutorials on this website.

Code Files

• The files used in this tutorial are provided in the Code files link.
• Please download and extract the files.
• Make a copy and use them for practising.

Scroll to the next page and repeat.

Press Ctrl + Enter, to go to a new page.

Press Ctrl and Enter keys to go to a new page.

From the submenu >> select Formula option.

Click on the Insert menu and select Object.

From the sub-menu, select Formula option.

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

Matrix

Matrix is a rectangular array of numbers or symbols, called elements.

Math has a separate markup to represent a matrix.

I will copy and paste them to save time.

Copy and paste:

"Example of a 2x3 Matrix:" newline newline

A ~=~ ( matrix {a # b # c ## d # e# f } ) newline newline

This matrix has 2 rows and 3 columns.

Point mouse over matrix word.

Point mouse over individual # symbol

Point mouse over ## symbols.

Point mouse over ( and ).

Point mouse over ( and ) in Writer gray box

We have included its elements in curly brackets.

Elements are separated using a hash symbol.

Rows in the matrix are separated using two hash symbols.

Parentheses are used to enclose the elements of a matrix.

Point to the elements.

They do not enclose all the elements of the matrix.

Parentheses are of the same size as each element.

Hence they are not scalable to the size of the matrix.

Type Left just before ( character and Right before ) character in the formula

Type Left before the opening parenthesis.

Type Right before closing the parenthesis.

Copy and paste

"Example of 4x1 Matrix: " newline newline

B ~=~ Left ( matrix {1##2##3##4} Right ) newline newline

Point mouse over ( and )

The markup for a 4 by 1 matrix is shown in the formula editor.

This is a 4 by 1 matrix in the preview area.

B ~=~ Left [ matrix {1##2##3##4} Right ] newline newline

In Formula Editor Window, Point mouse over last line.

We can write matrices of any dimension using the matrix markup.

Press Enter twice

Press the Enter key twice to add two blank lines.

"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)

Point mouse over the cursor in the FEW.

Type ~+~ in between these two matrices

Click between the two matrices and add a plus sign with a blank format.

Left( matrix {a+%alpha # b+%beta # c+%gamma ## d+%theta # e+%eta # f+%mu } Right) newline newline

Point mouse over the last formula in the Writer gray box.

Notice that we have used Greek characters in our example.

"Example of Matrix Multiplication with a number: " newline newline

4 times Left( matrix {%alpha # %beta # %gamma ## %theta # %eta # %mu } Right)

This is a 2 by 3 matrix multiplied by 4.

We have written 4 times followed by the matrix.

Left( matrix {4%alpha # 4%beta # 4%gamma ## 4%theta # 4%eta # 4%mu } Right) newline newline newline

Point mouse over the last formula in Writer gray box

This is the product of multiplying a 2 by 3 matrix with a number.

Click on the Format menu.

We can choose Fonts, Font Sizes, Spacing or Alignment options for formatting.

Default sizes:

Line Spacing field 3%

Column spacing field 30%

Point to the dialog box.

Spacing dialog box opens.

Change Line spacing to 20%, Column spacing to 40%

Click on the OK button.

Point mouse over Writer gray box.

Let’s change the Line spacing to 20 percent and Column spacing to 40 percent.

Click on the OK button in the dialog box.

Assignment

• Open Math-assignment.odt file.
• Write steps to multiply a 2x3 matrix by a 3x1 matrix.
• Use formatting options to change the fonts, font sizes and spacing.

From the submenu >> select Formula option.

Click on the Insert menu and select Object.

From the submenu, select Formula.

In the Font sizes dialog box change the Base Size to 18 pt.

Click OK button

Copy and paste:

"Simultaneous Equations: " newline newline

2x+y = 8 newline

x+y=6 newline newline

Point mouse over 2x, point over y, point over =.

We can use the matrix markup to align them.

We can separate each part of the equation and treat it as element of a matrix.

Here, 2x, y, plus sign and equal to are different parts of the equation.

matrix { 2x # {}+{} # y # {}={} # 8 ## x # {}+{} # y # {}={} # 6 }

Point to the curly brackets.

Point mouse over # symbols

Point mouse over ## symbol

Here alignment at the plus sign and equal to sign is done using the curly brackets.

Also note that a hash symbol is used to separate each element of this equation.

We have used two hash symbols to separate the equations.

newline newline

x+y=2 newline

x=2-y newline newline

Point mouse over last formula in the Writer gray box

Note that LHS ad RHS do not show equal number of parts.

Hence they are not aligned at the plus sign, minus sign and equal to sign.

matrix{ alignr x+y # {}={} # alignl 2 ## alignr x # {}={} # alignl 2-y }

In Formula editor window, point mouse over alignr and alignl and the ‘=’ character.

Point mouse over the last formula Write Gray box

Note that the set of equations are aligned to right and left of the equal to sign.

Let us summarize.

Summary

• Write a matrix
• Format the matrices and
• Align the equations

Assignment

• Open Math-assignment.odt file.
• Write a set of three equations.
• Align the equations at the plus or minus signs and equal to character.

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Acknowledgement

Acknowledgement to DesiCrew

This is Madhuri Ganapathi along with the Spoken Tutorial team from IIT Bombay.

Thank you for watching.