Let A be an nXn real matrix, all of whose eigenvalues are real. Prove that there exist an orthogonal matrix Q and an upper triangular matrix T such that Q^tAQ=T(Q^t is Q-transpose).

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- Mar 4th 2008, 09:01 PMmathlete2Orthogonal diagonalization proof
Let A be an nXn real matrix, all of whose eigenvalues are real. Prove that there exist an orthogonal matrix Q and an upper triangular matrix T such that Q^tAQ=T(Q^t is Q-transpose).