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Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigensp 8 -4 A = the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) a basis for each of the corresponding eigenspaces } B, = = {L B, = 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-lAP %3D

Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigensp 8 -4 A = the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) a basis for each of the corresponding eigenspaces } B, = = {L B, = 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-lAP %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = -2 1 the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) (Ag, Ag) = 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-1AP =
Transcribed Image Text:Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. 8 -4 A = -2 1 the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) (Ag, Ag) = 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-1AP =
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