Let A be a real 2x2 matrix. If A has two distinct eigenvalues, then has two distinct eigenvalues. False, does anyone know a counterexample or relevant theorem of definition?
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Originally Posted by dwsmith Let A be a real 2x2 matrix. If A has two distinct eigenvalues, then has two distinct eigenvalues. False, does anyone know a counterexample or relevant theorem of definition? If is an eigenvalue of then is an eigenvalue of Now you just need a 2 by 2 matrix eigenvalue .
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