Problem 6. (a) Prove that orthogonal matrices can only have eigenvalues 1 or -1. (b) When does a 2 x 2 rotation matrix h
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Problem 6. (a) Prove that orthogonal matrices can only have eigenvalues 1 or -1. (b) When does a 2 x 2 rotation matrix h
Problem 6. (a) Prove that orthogonal matrices can only have eigenvalues 1 or -1. (b) When does a 2 x 2 rotation matrix have real eigenvalues? Does this happen at all?
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