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Show that the matrix is not diagonalizable. 3 -4 1 031 0. 0 4 STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. ( (22, 12) = %3D STEP 2: Find the eigenvectors x, and x2 corresponding to 1, and 2, respectively. X1 %3D X2 %3D

Show that the matrix is not diagonalizable. 3 -4 1 031 0. 0 4 STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. ( (22, 12) = %3D STEP 2: Find the eigenvectors x, and x2 corresponding to 1, and 2, respectively. X1 %3D X2 %3D

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Show that the matrix is not diagonalizable. 3-41 3 1 0 4 STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. ( (12, 12) = %3D STEP 2: Find the eigenvectors X, and x2 corresponding to 21 and 22, respectively. X1 %3D X2 = Are the two matrices similar? If so, find a matrix P such that B = P1AP. 200 100 A = 030 B 020 %3D %3D 0 0 1 0 0 3 P = 1
Transcribed Image Text:Show that the matrix is not diagonalizable. 3-41 3 1 0 4 STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. ( (12, 12) = %3D STEP 2: Find the eigenvectors X, and x2 corresponding to 21 and 22, respectively. X1 %3D X2 = Are the two matrices similar? If so, find a matrix P such that B = P1AP. 200 100 A = 030 B 020 %3D %3D 0 0 1 0 0 3 P = 1
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. 2 -2 3 A = 3 -2 0 -1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. P-LAP =
Transcribed Image Text:For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. 2 -2 3 A = 3 -2 0 -1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. P-LAP =
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