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Let a be a matrix of order n, | a | ≠ 0, a * be the adjoint matrix of a, and E be the unit matrix of order n. if a has an eigenvalue λ, then (a *) 2 + e must have an eigenvalue______ ．
Suppose that λ is any eigenvalue of a, and its corresponding eigenvector is x, then λ ≠ 0 is known from | a ≠ 0, and Ax = λ X & nbsp; (x ≠ 0), then a − 1x = 1 λ x, then | a − 1x = a | a | λ x, and | a | A-1 = a *, then a * x = a | a | λ x, then: (a *) 2x = (| a | λ) 2x, there are: (a *) 2 +
RELATED INFORMATIONS
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