Show that the matrix is not diagonalizable. 2 −4 2 0 2 3 0 0 3 STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. (Enter your answers from smallest to largest.) (?1, ?2) = STEP 2: Find the eigenvectors x1 and x2 corresponding to ?1 and ?2, respectively. x1 = x2 = STEP 3: Since the matrix does not have linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable. linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable.
Show that the matrix is not diagonalizable. 2 −4 2 0 2 3 0 0 3 STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. (Enter your answers from smallest to largest.) (?1, ?2) = STEP 2: Find the eigenvectors x1 and x2 corresponding to ?1 and ?2, respectively. x1 = x2 = STEP 3: Since the matrix does not have linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable. linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable.
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 30E
Related questions
Question
Show that the matrix is not diagonalizable.
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2 | −4 | 2 |
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| 0 | 2 | 3 | ||||
| 0 | 0 | 3 |
| STEP 1: | Use the fact that the matrix is triangular to write down the eigenvalues. (Enter your answers from smallest to largest.) | |
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(?1, ?2) =
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| STEP 2: | Find the eigenvectors x1 and x2 corresponding to ?1 and ?2, respectively. | |||
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| x2 | = |
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| STEP 3: | Since the matrix does not have linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable. |
linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable.
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