Constants: a = 2, b = 3 The following statements are TRUE. Explain why. a. If the characteristic polynomial of a matrix M is χ(λ) = (λ)(λ − 2)(λ + 2), then M is diagonalizable. b. If M is a 5 × 5 matrix with eigenvalues 1, 4, and −5, and the dimension of λ = 4 eigenspace is 3, then M is diagonalizable. d. The eigenvalues of an upper triangular matrix are the entries along the main diagonal.

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: Let A be the n × n matrix given by Show that det (A) = (a - 1) n − 1(a + n - 1)

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