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Find the characteristic polynomial and all eigenvalues and eigenvectors for each matrix. Use those complex eigenvalues to create a matrix P and C so that P is a similarity transformation and Cis similar to the original matrix. If the eigenvalues are real, find the similarity transformation P that diagonalizes the matrix, and D the diagonal matrix. [1 -2] 0 5 f. -2 2 а. 1 3 -3 -8 b. -3 7 g. 5 4 5 1 C. h. 6 -5] -4 -5 -4J 5 -4 3 -2 21 -5 6] [4 -2 j. 0 d. -2 е. 2 -3 -1 2 2 5 3.

Find the characteristic polynomial and all eigenvalues and eigenvectors for each matrix. Use those complex eigenvalues to create a matrix P and C so that P is a similarity transformation and Cis similar to the original matrix. If the eigenvalues are real, find the similarity transformation P that diagonalizes the matrix, and D the diagonal matrix. [1 -2] 0 5 f. -2 2 а. 1 3 -3 -8 b. -3 7 g. 5 4 5 1 C. h. 6 -5] -4 -5 -4J 5 -4 3 -2 21 -5 6] [4 -2 j. 0 d. -2 е. 2 -3 -1 2 2 5 3.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 26E
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Find the characteristic polynomial and all eigenvalues and eigenvectors for each matrix. Use those complex eigenvalues to create a matrix P and C so that P is a similarity transformation and Cis similar to the original matrix. If the eigenvalues are real, find the similarity transformation P that diagonalizes the matrix, and D the diagonal matrix. [1 -2] 0 5 f. -2 2 a. 1 3 -3 -8 b. -3 7 g. 5 4 5 -4 1 [3 h. -21 C. -5) 3 -2 21 -5 6] [4 -2 j. 0 d. -5 -4J -2 3 2 -4 -3 е. -1 2 2 5
Transcribed Image Text:Find the characteristic polynomial and all eigenvalues and eigenvectors for each matrix. Use those complex eigenvalues to create a matrix P and C so that P is a similarity transformation and Cis similar to the original matrix. If the eigenvalues are real, find the similarity transformation P that diagonalizes the matrix, and D the diagonal matrix. [1 -2] 0 5 f. -2 2 a. 1 3 -3 -8 b. -3 7 g. 5 4 5 -4 1 [3 h. -21 C. -5) 3 -2 21 -5 6] [4 -2 j. 0 d. -5 -4J -2 3 2 -4 -3 е. -1 2 2 5
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