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$)$ CT A

$($vi$)$ AT BT

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

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

$($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