Let A1 = 1 1 1 2 , A2 = 1 1 2 1 , and A3 = 1 3 0 2 . Use the inner product A, B = a11b11

Chapter 5, Problem 20

(choose chapter or problem)

Let A1 = 1 1 1 2 , A2 = 1 1 2 1 , and A3 = 1 3 0 2 . Use the inner product A, B = a11b11 + a12b12 + a21b21 + a22b22 to find all matrices A4 = a b c d such that {A1, A2, A3, A4} is an orthogonal set of matrices in M2(R).

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