Question

How do you multiply matrices `((3, -2), (3, 1), (-2, 4))` and `((3, 1), (-2, 4))` and `((-2, 4), (1, 3))`?

Answer 1

Please see the explanations below

Explanation:

Matrix multiplication is

`((a,b),(c,d),(e,f)) xx((p,q),(r,s))= ( ("ap+br", "aq+bs"),("cp+dr", "cq+ds"),("ep+fr","eq+fs") )`

Therefore, the matrix multiplications are

`((3,-2),(3,1),(-2,4)) xx((3,1),(-2,4))= ((13,-5),(7,7),(-14,14))`

`((3,-2),(3,1),(-2,4)) xx((-2,4),(1,3))= ((-8,6),(-7,15),(8,4))`