Question

How do you find AB if `A=[(4,3), (7,2)]` and `B=[(8,5),(9,6)]`?

Answer 1

`AB=((59,38),(74,47))`

Explanation:

`A=((4,3),(7,2))`

`B=((8,5),(9,6))`

`((a,b),(c,d))((e,f),(g,h))=((ae+bg,af+bh),(ce+dg,cf+dh))`

`AB=((4,3),(7,2))((8,5),(9,6))=((4*8+3*9,4*5+3*6),(7*8+2*9,7*5+2*6))`

`=((59,38),(74,47))`