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Let A be a 2 x 2 matric with Schur decomposition UTUH and suppose that t12≠...

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Advance Math

Let A be a 2 x 2 matric with Schur decomposition UTUHand suppose that t12≠ 0. Show that

(a) the eigenvalues of A are λ1 = t11 andλ2 = t22.

(b) u1 is an eigenvector of A belongingto  λ1 = t11.

(c) u2 is not an eigenvector of A belonging toλ2 = t22.

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