Question

Given A = `[(p , 0),(0, 2)], "B" = [(0 , -q), (1, 0)], "C" = [(2, -2),(2, 2)]` and BA = C².
Find the values of p and q.

Answer 1

A = `[(p , 0),(0, 2)], "B" = [(0 , -q), (1, 0)]`
C = `[(2, -2),(2, 2)]`
BA = `[(0 , -q), (1 , 0)] [(p , 0),(0 ,2)] = [(0, -2q),(p , 0)]`
C² = `[(2, -2),(2, 2)][(2, -2),(2, 2)] = [(0 , -8),(8, 0)]`
BA = C²
⇒ -2q = -8
⇒ q = 4
p = 8
⇒ p = 8.