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Question
Given A = `[("p", 0),(0, 2)]`, B = `[(0, -"q"),(1, 0)]`, C = `[(2, -2),(2, 2)]` and if BA = C2, find p and q.
Solution
BA = `[(0, -"q"),(1, 0)] [("p", 0),(0, 2)]`
= `[(0 - 0, 0 - 2"q"),("p" - 0, 0 + 0)]`
= `[(0, -2"q"),("p", 0)]`
C2 = `[(2, -2),(2, 2)] [(2, -2),(2, 2)]`
= `[(4 - 4, -4 - 4),(4 + 4, -4 + 4)]`
= `[(0, -8),(8, 0)]`
But BA = C2
`[(0, -2"q"),("p", 0)] = [(0, -8),(8, 0)]`
– 2q = – 8
q = `8/2` = 4
p = 8
∴ The value of p = 8 and q = 4
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