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Given the matrix and its eigenvalues 2 27 0 0 4 40 has eigenvalues R, = 2 and R, = 34 and R, = 0 II 0 3 30 Find the new matrices (A, and Az and A3) for the matrix.

Given the matrix and its eigenvalues 2 27 0 0 4 40 has eigenvalues R, = 2 and R, = 34 and R, = 0 II 0 3 30 Find the new matrices (A, and Az and A3) for the matrix.

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 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...
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Given the matrix and its eigenvalues 2 27 0 0 4 40 has eigenvalues R, 2 and R, 34 and R, = 0 0 3 30 Find the new matrices (A, and Az and A3) for the matrix. 0. 27 - 32 27 0 2 27 A and A,- and A, = 0 2 40 - 30 40 4 40 %3D 3 30 3 28 0 3 -4 2 27 0 34 27 0 O 27 0 B A. = 1 0 2 40 and A2 0 34 40 and A3 0 0 40 0 3 2 3 34 0 3 27 27 27 C) 0 - 30 40 and A, = 0 - 30 40 and A3 - 30 40 3 30 30 30 O 27 0 - 32 27 2 27 0 (D) A, 0 2 40 and A2= and A, = 0 4 40 -30 40 0 3 28 3 -4 03 30 4 27 0 36 27 0 2 27 0 0 6 40 and A2 and A3 E A, = 0 38 40 0 4 40 = 0 3 32 3 64 0 3 30 3. 2.
Transcribed Image Text:Given the matrix and its eigenvalues 2 27 0 0 4 40 has eigenvalues R, 2 and R, 34 and R, = 0 0 3 30 Find the new matrices (A, and Az and A3) for the matrix. 0. 27 - 32 27 0 2 27 A and A,- and A, = 0 2 40 - 30 40 4 40 %3D 3 30 3 28 0 3 -4 2 27 0 34 27 0 O 27 0 B A. = 1 0 2 40 and A2 0 34 40 and A3 0 0 40 0 3 2 3 34 0 3 27 27 27 C) 0 - 30 40 and A, = 0 - 30 40 and A3 - 30 40 3 30 30 30 O 27 0 - 32 27 2 27 0 (D) A, 0 2 40 and A2= and A, = 0 4 40 -30 40 0 3 28 3 -4 03 30 4 27 0 36 27 0 2 27 0 0 6 40 and A2 and A3 E A, = 0 38 40 0 4 40 = 0 3 32 3 64 0 3 30 3. 2.
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