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Show that every eigenvalue of such a matrix is real

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Reference no: EM131555578

Question: Will focus on matrices A with the property that AT = A. show that every eigenvalue of such a matrix is necessarily real.

Let A be an n X n real matrix with the property that AT = A. Show that if Ax = λx for some nonzero vector x in Cn, then, in fact, λ is real and the real part of x is an eigenvector of A.

Reference no: EM131555578

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