The transpose of a matrix: The transpose of a matrix A$,$ denoted by AT

$,$ can be

computed in MATLAB using A$.$ A matrix A is symmetric if AT $=$ A$.$

Enter the following matrices:

A $=$

$66$

$13$

$,$ B $=$

$45$

$54$

$,$ C $=$

$235$

$631$

Compute the following

$($i$)$ BT AT

$($ii$)($AT

$)$

T

$($iii$)$ ACT

$($iv$)$ BT

$($v$)$ C

T A

$($vi$)$ AT BT

$($vii$)($AB$)$

T

$($a$)$ Did MATLAB refuse to do any of the requested calculations? If so$,$ which ones and

why?

$($b$)$ Is B symmetric? Why or why not?

$($c$)$ What is the relationship between $($AT

$)$

T and A$?$

$($d$)$ Does $($AB$)$

T $=$ AT BT

$?$ Does $($AB$)$

T $=$ BT AT

$?$