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onsider the following matrix: - 4 12 A = 3 12 2 he following vectors are linearly independent eigenvectors of A: Vi = V2 -2 iagonalize the matrix A, i.e. find an invertible matrix P and a diagonal matrix D such that A = PDP-1.

onsider the following matrix: - 4 12 A = 3 12 2 he following vectors are linearly independent eigenvectors of A: Vi = V2 -2 iagonalize the matrix A, i.e. find an invertible matrix P and a diagonal matrix D such that A = PDP-1.

Elementary Linear Algebra (MindTap Course List)
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 79E
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Enter the matrix P: Enter the matrix D:
Transcribed Image Text:Enter the matrix P: Enter the matrix D:
Consider the following matrix: 4 12 A -8 3 12 2 5 The following vectors are linearly independent eigenvectors of A: -2' -2 Vi = -2 V2 = V3 -2 Diagonalize the matrix A, i.e. find an invertible matrix P and a diagonal matrix D such that A = PDP-1.
Transcribed Image Text:Consider the following matrix: 4 12 A -8 3 12 2 5 The following vectors are linearly independent eigenvectors of A: -2' -2 Vi = -2 V2 = V3 -2 Diagonalize the matrix A, i.e. find an invertible matrix P and a diagonal matrix D such that A = PDP-1.
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