Find a 2x2 matrix A with the following properties: Each eigenvalue is a complex number with...

 

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Find a 2x2 matrix A with the following properties: Each eigenvalue is a complex number with a modulus equal to 1. The eigenvalues remain complex for An for 0 ≤ n ≤ 49 and become real for A50. Find a 2x2 matrix A with the following properties: Each eigenvalue is a complex number with a modulus equal to 1. The eigenvalues remain complex for An for 0 ≤ n ≤ 49 and become real for A50.