How do you compute the matrix AB given $A=((3,0),(-1,5))$ and $B=((0,4,-1), (-3,3,-5))$ ?

Question

3605 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-01T17:53:01

The answer is $=((0,12,-3),(-15,11,-24))$

To compute the matrices, we use the following :

$((a,b),(c,d))((p,q,r),(s,t,v))=((ap+bs,aq+bt,ar+bv),(cp+ds,cq+td,cr+dv))$

Therefore,

$((3,0),(-1,5))((0,4,-1),(-3,3,-5))=((0,12,-3),(-15,11,-24))$

How do you compute the matrix AB given A=((3,0),(-1,5))A=((3,0),(-1,5)) and B=((0,4,-1), (-3,3,-5))B=((0,4,-1), (-3,3,-5))?