Prove the following. 1 X X 1 X X3 1 X3 X (a) = (A2A1) (A3A1)...
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Prove the following. 1 X X 1 X X3 1 X3 X (a) = (A2A1) (A3A1) (A3  A). (b) Suppose that A is a real 3 x 3 symmetric matrix with a repeated eigenvalue. If v is any vector, show that the vectors v, Av, Av are linearly dependent.
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