Question

Does the commutative property hold true for matrix addition and matrix multiplication? Explain why.

Answer 1

matrix addition is done component wise and thus yes. as long at the field is commutative. Multiplication on the other hand, is not. You can easily come up with a counter example.

Answer 2

yes i'm positive!

Answer 3

@xapproachesinfinity so is the answer maybe, since it can't be yes and no

Answer 4

for matrix addition it is yes
for multiplication no