Suppose u, v are orthonormal vectors in R 2 , and A = UV T. Compute A 2 = UV T UV T to

Chapter 6, Problem 33

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Suppose u, v are orthonormal vectors in R 2 , and A = UV T. Compute A 2 = UV T UV T to discover the eigenvalues of A. Check that the trace of A agrees with Al + A2.

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