For Questions $($a$)($k$),$ 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$)$ If V is an n$-$dimensional vector space, then any set S

of m vectors with m $>$ n must span V