Consider the following matrix: 1 -6 -6 -6 -4 -2 -2 8 -60 0 12 -1 -3 -3 0 A = a) Find the distinct eigenvalues of A, their multiplicities, and the corresponding number of basic eigenvectors. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and corresponding number of basic eigenvectors 1 b) Determine whether the matrix A is diagonalizable. Conclusion: < Select an answer > Official Time: A is diagonalizable A is not diagonalizable SUBMIT AND MARK
Consider the following matrix: 1 -6 -6 -6 -4 -2 -2 8 -60 0 12 -1 -3 -3 0 A = a) Find the distinct eigenvalues of A, their multiplicities, and the corresponding number of basic eigenvectors. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and corresponding number of basic eigenvectors 1 b) Determine whether the matrix A is diagonalizable. Conclusion: < Select an answer > Official Time: A is diagonalizable A is not diagonalizable SUBMIT AND MARK
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the following matrix:
1 -6 -6 -6
-4
-2 -2 8
-6 0 0 12
-1 -3 -3 0
A =
a) Find the distinct eigenvalues of A, their multiplicities, and the corresponding number of basic eigenvectors.
Number of Distinct Eigenvalues: 1
Eigenvalue: 0 has multiplicity 1 and corresponding number of basic eigenvectors 1
b) Determine whether the matrix A is diagonalizable.
Conclusion: < Select an answer >
< Select an answer >
Official Time: A is diagonalizable
A is not diagonalizable
SUBMIT AND MARK](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec2b7ff9-b952-4215-9e0f-f264e2036fb8%2Fc044966c-1b82-4905-bed2-cd958b9b7262%2Fr22o8vk_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following matrix:
1 -6 -6 -6
-4
-2 -2 8
-6 0 0 12
-1 -3 -3 0
A =
a) Find the distinct eigenvalues of A, their multiplicities, and the corresponding number of basic eigenvectors.
Number of Distinct Eigenvalues: 1
Eigenvalue: 0 has multiplicity 1 and corresponding number of basic eigenvectors 1
b) Determine whether the matrix A is diagonalizable.
Conclusion: < Select an answer >
< Select an answer >
Official Time: A is diagonalizable
A is not diagonalizable
SUBMIT AND MARK
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