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

Let A be a 2 x 2 matric with Schur decomposition UTU^H and suppose that t₁₂≠ 0. Show that

(a) the eigenvalues of A are λ₁ = t₁₁ and λ₂ = t_22.

(b) u₁ is an eigenvector of A belonging to λ₁ = t_11.

(c) u₂ is not an eigenvector of A belonging to λ₂ = t_22.

Expert Solution

Colby Messinger answered 1 year ago

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