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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.
Solution
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.
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