Creating Matrices

$30$ points $[10$ Points Per Part$]$

In this exercise, you create matrices manually or randomly per instructions. You may need the following commands for Part C$.$

The command $r$ and $(n)$ generates an $nn$ matrix of random numbers between $0$ and $1$

The command $r$ and $(m,n)$ generates an $mn$ matrix of random numbers between $0$ and $1$

The command $r$ andi $([min,$max$],m,n)$ generates an $mn$ matrix of random integers between min and max numbers $($inclusive$)$

The command $[m,n]=$size$(A)$ returns two numbers, $m,$ and $n,$ where $m$ is the number of rows of A and $n$ is the number of columns of $A$

A$.$ Create a matrix manually

Create the following matrices in MATLAB and display the output $A=\left[\begin{array}{ccc}1& 2& 3\\ -4& -5& -6\\ 7& 8& 9\end{array}\right],b=\left[\begin{array}{c}1\\ 2\\ 3\end{array}\right],c=\left[\begin{array}{cc}-1& 1\end{array}\right],$

$D=\left[\begin{array}{ccccc}0& 1& 2& 3& 4\\ 1& 2& 3& 4& 0\\ 2& 3& 4& 0& 1\end{array}\right]$

Run the following commands, display the output, and briefly describe the result of each command

$x1=A(2,$:$)$;

$x_2=D($:$,4)$;

aug$=\left[\begin{array}{cc}A& c\end{array}\right]$;

Note: You will get an error message for this command, and you need to make a minor fix to it so that the output is a $43$ matrix with vector $c$ as its $4$ th row

B$.$ Create special matrices: Use the following commands, display the output, and briefly describe the result of each command

$x^4=$ eye $(8)$;

$x5=$zeros$(6,3)$;

$x6=$zeros$(5)$;

$x7=$ones$(3,5)$;

$x^8=$diag$(c)$;

Create random matrices: Use the commands below to generate the matrices, display the output, and briefly describe the result of each command