(a) Let A be an invertible 11 x 11 matrix, and let u and v

Chapter , Problem 56

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(a) Let A be an invertible 11 x 11 matrix, and let u and v be vectors in n" such that u # v. Prove that Au # Av, (b) Find a 2 x 2 matrix A and distinct vectors u and v in n2 such that Au = Av.

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