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(c) Find the characteristic polynomial, the eigenvalues, and the associated eigenvectors of the matrix A. Find the matrix X that diagonalizes the matrix A (D=X'AX, where D is diagonal matrix) and diagonalize A. [Note: set the second components of the eigenvectors to be 1.] -4 1 -3 A 1 -4 -3 -3 www ww

(c) Find the characteristic polynomial, the eigenvalues, and the associated eigenvectors of the matrix A. Find the matrix X that diagonalizes the matrix A (D=X'AX, where D is diagonal matrix) and diagonalize A. [Note: set the second components of the eigenvectors to be 1.] -4 1 -3 A 1 -4 -3 -3 www ww

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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(c) Find the characteristic polynomial, the eigenvalues, and the associated eigenvectors of the matrix A. Find the matrix X that diagonalizes the matrix A (D=X'AX, where D is diagonal matrix) and diagonalize A. [Note: set the second components of the eigenvectors to be 1.] -4 1 -3 A 1 -4 -3 -3 www ww
Transcribed Image Text:(c) Find the characteristic polynomial, the eigenvalues, and the associated eigenvectors of the matrix A. Find the matrix X that diagonalizes the matrix A (D=X'AX, where D is diagonal matrix) and diagonalize A. [Note: set the second components of the eigenvectors to be 1.] -4 1 -3 A 1 -4 -3 -3 www ww
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