4. Show that R() has real eigenvalues if and only if sin 0 = 0. Find the eigenvalues of the following matrix, 0 0 1 0 0
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4. Show that R() has real eigenvalues if and only if sin 0 = 0. Find the eigenvalues of the following matrix, 0 0 1 0 0
4. Show that R() has real eigenvalues if and only if sin 0 = 0. Find the eigenvalues of the following matrix, 0 0 1 0 0 0 0 A = 0 0 -60 1 0 1 b. Let A € M (R) such that A² = 1. Show that if X is an eigenvalue of A, then = +1. C. Let A € GL.(R). Show that if X is a non-zero eigenvalue of A, then is an eigenvalue of A-1
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