Let / A = (a) Find a 5 x 5 matrix M with rank 2 such that AM = O, where O is the 4x 5

Chapter 3, Problem 20

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Let / A = (a) Find a 5 x 5 matrix M with rank 2 such that AM = O, where O is the 4x 5 zero matrix. (b) Suppose that B is a 5 x 5 matrix such that AB = O. Prove that rank(B) < 2.

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