Theorem: \lambda is an eigenvalue of a matrix A if and only if \lambda satisfies the characteristic equation det(A-\lambda I) = 0; examples; eigenvalues of triangular matrices are the diagonal entries.

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##### Definition of characteristic equation of a matrix math.la.d.mat.charpoly.eqn

##### Definition of characteristic polynomial of a matrix math.la.d.mat.charpoly

##### The eigenvalues of a triangular matrix are the entries on the main diagonal. math.la.t.mat.eig.triangular