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Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. - 8 -4 A = 1 the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) (A,, 22) = a basis for each of the corresponding eigenspaces 1} B. = B2 For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that P-'AP is diagonal. P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP

Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. - 8 -4 A = 1 the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) (A,, 22) = a basis for each of the corresponding eigenspaces 1} B. = B2 For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that P-'AP is diagonal. P = Verify that P-AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 35E
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Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. 8 -4 A = 1. the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) (A,, 22) = a basis for each of the corresponding eigenspaces B1 = B2 For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that P-'AP is diagonal. P = Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP
Transcribed Image Text:Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. 8 -4 A = 1. the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) (A,, 22) = a basis for each of the corresponding eigenspaces B1 = B2 For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that P-'AP is diagonal. P = Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP
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