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

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Answer 1 · 2018-05-24T08:10:28

Please see the explanations below

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

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

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

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