KIn this activity you will learn how to define matrices, use the size$()$ command to find the size $\backslash \%$of a matrix, generate an identity matrix, and also compute the transpose of a matrix using $\backslash \%$the $"."$ operator.

WMatrices in Matlab can be constructed by entering each row of values.

KRows are separated from each other using a semicolon.

$\backslash \%$For example, consider the $\backslash (2\backslash$times $4\backslash )$ matrix B defined as:

$\backslash [$

B$=\backslash$left$[\backslash$begin$\{$array$\}\{$lllllllll$\}$

$1$ & $2$ & $3$ & $4$ ; & $5$ & $6$ & $7$ & $8$

$\backslash$end$\{$array$\}\backslash$right$]$

$\backslash ]$

$\backslash \%$The size$()$ function can be used to compute the number of rows and columns of a matrix. $$compute the number of rows and columns of B by using the size$()$ function and store these values. $[$numRowsTest$,$ numColsTest$]=$ size$($B$)$

$\backslash \%$The eye$()$ function can be used to create an n by n identity matrix.

$\backslash \%$create the $\backslash (3\backslash$times $3\backslash )$ identity matrix and store it as I.

$\backslash [$

I$=\backslash$operatorname$\{$eye$\}(3)$

$\backslash ]$

$\backslash \%$The "dot$-$tic" operator can be used to transpose a matrix.

$\backslash \%$Take the transpose of the matrix B and store it as the matrix C$.$

$\backslash [$

C$=$B $.^\{\backslash$prime$\}$

$\backslash ]$

Script $($

$\backslash \%$Define the $\backslash (3\backslash$times $3\backslash )$ matrix A with all $1\text{'}$s in the first row, all $2\text{'}$s in the second row, $\backslash \%$and all $3\text{'}$s in the $3$rd row.

Zuse the size$()$ function to compute the number of rows and columns of matrix A$.\backslash \%$store these quantities as variables numRows and numCols.

$\backslash \%$use the eye$()$ function to create the $\backslash (4\backslash$times $4\backslash )$ identity matrix. Store this matrix as I.

Kcompute the transpose of the matrix A$.$ Store this transposed matrix as the matrix D$.$ Assessment:

Matrix A is correct

numRows variable value is correct

numCols variable value is correct

Identity matrix is correct

Matrix D is correct