Question

Which formula expresses associative with respect to scalar multiplication?

Options

• \[k(lA)=(k+l)A\]

• \[k(lA)=kl+A\]

• \[k(lA)=(kl)A\]

• \[k(lA)=kA+lA\]

Answer 1

First multiplying \[A\] by \[l\] and then by \[k\] multiplies every entry by \[kl\]. Therefore, \[k(lA)=(kl)A\].