$\%$ Define the matrices A$,$ B$,$ and C

A $=[$randsample$(-7$:$7,1)-3$;$3-6]$; $\%$ Assuming A is predefined as you mentioned

B $=[-31$; $12]$;

C $=[30-1$; $15-1]$;

$\%1.$ Transpose of B times transpose of A $($B$\text{'}$T $*$ A$\text{'}$T$)$

$\%$ Dimensions of B$\text{'}$T are $2$x$2$ and A$\text{'}$T are $2$x$2,$ so multiplication is possible

ans$1=$ B$\text{'}*$ A$\text{'}$;

$\%2.$ Transpose of A times transpose of B $($A$\text{'}$T $*$ B$\text{'}$T$)$

$\%$ Dimensions of A$\text{'}$T are $2$x$2$ and B$\text{'}$T are $2$x$2,$ so multiplication is possible

ans$2=$ A$\text{'}*$ B$\text{'}$;

$\%3.$ Transpose of B $($B$\text{'}$T$)$

$\%$ Transpose operation is always possible

ans$3=$ B$\text{'}$;

$\%4.$ Double transpose of A $(($A$\text{'}$T$)$T$)$

$\%$ Double transpose operation is always possible

ans$4=($A$\text{'})\text{'}$;

$\%5.$ Transpose of C times A $($C$\text{'}$T $*$ A$)$

$\%$ Dimensions of C$\text{'}$T are $3$x$2$ and A is $2$x$2,$ so multiplication is possible

ans$5=$ C$\text{'}*$ A;

$\%6.$ Transpose of the product of A and B $(($AB$)$T$)$

$\%$ Dimensions of AB are $2$x$2,$ so transpose operation is possible

ans$6=($A $*$ B$)\text{'}$;

$\%7.$ A times transpose of C $($A $*$ C$\text{'}$T$)$

$\%$ Dimensions of A are $2$x$2$ and C$\text{'}$T are $3$x$2,$ so multiplication is not possible

$\%$ This operation is not included because it does not make sense dimension$-$wise

$\%$ Display results $($optional$,$ for verification$)$

disp$(\text{'}$ans$1=\text{'})$;

disp$($ans$1)$;

disp$(\text{'}$ans$2=\text{'})$;

disp$($ans$2)$;

disp$(\text{'}$ans$3=\text{'})$;

disp$($ans$3)$;

disp$(\text{'}$ans$4=\text{'})$;

disp$($ans$4)$;

disp$(\text{'}$ans$5=\text{'})$;

disp$($ans$5)$;

disp$(\text{'}$ans$6=\text{'})$;

disp$($ans$6)$;