Find the eigenvalues of the matrix A = [a_ij] and use exact values only. (Simplify what you find completely; -3) Let A = [a_ij] be an n x n triangular matrix. Prove that the eigenvalues of A are the entries of A along the main diagonal. Hint: Find the characteristic equation.
Added by Jeffrey D.
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First, we need to find the characteristic equation of the matrix A. The characteristic equation is given by det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix. Show more…
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