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Find an eigenvalue of a

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Reference no: EM131555653

Question: Suppose is an eigenvalue of the B in Exercise, and that x is a corresponding eigenvector, so that (A - αI)-1x = μx. Use this equation to find an eigenvalue of A in terms of μ and α.

Exercise: Suppose Ax = λx with x ≠ 0. Let ? be a scalar different from the eigenvalues of A, and let B = (A - αI)-1. Subtract αx from both sides of the equation Ax = λx, and use algebra to show that 1/(λ - α) is an eigenvalue of B, with x a corresponding eigenvector.

Reference no: EM131555653

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