Suppose that a 4 x 4 matrix A has eigenvalues A, = 1, d = - 3, 13 = 5, and A4 = - 5. Use the following method to find det (A). If P(A) = det (AI – A) = A^ + c,in - 1 + ... + Cn So, on setting A = 0, we obtain that det (- A) = c, or det (A) = (- 1)^cn det (A) =
Suppose that a 4 x 4 matrix A has eigenvalues A, = 1, d = - 3, 13 = 5, and A4 = - 5. Use the following method to find det (A). If P(A) = det (AI – A) = A^ + c,in - 1 + ... + Cn So, on setting A = 0, we obtain that det (- A) = c, or det (A) = (- 1)^cn det (A) =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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