Challenge problem: Is there a real 2 by 2 matrix (other than I) with A3 = I? Its
Chapter 5, Problem 5.1.39(choose chapter or problem)
Challenge problem: Is there a real 2 by 2 matrix (other than I) with A3 = I? Its eigenvalues must satisfy 3 = I. They can be e 2i/3 and e 2i/3 . What trace and determinant would this give? Construct A.
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