Let A and B be the following $3\backslash$times $3$ matrices.

$57$

$4$

A $=$

$3$

$2$

B $=$

$1$

$3$

$2$

$37$

$4$

$-2$

$4$

NIm

$1$

$4$

$2$

$2$

$($a$)$ Calculate A$-1$B$-1,($AB$)-1,$ and $($BA$)-1.$ What do you observe?

$($b$)$ Find $($A$-1)"$ and $($A$?)-1.$ What do you observe? Remember: The MATLAB command for the transpose of a real matrix A is A$\text{'}.$