For items $($a$)($l$),$ decide if the given statement is true or

false, and give a brief justification for your answer. If true,

you can quote a relevant definition or theorem from the text.

If false, provide an example, illustration, or brief explanation

of why the statement is false.

$($e$)$ For n $$ n matrices A and B$,$ we have

$($A $+$ B$)$

$2=$ A$2+2$AB $+$ B$2.$