Consider the following matrix: -18 0 5 0 20 -30 -3 10 0 40 0-30 0 A = 0 0 0 0-30 -15 0 5 0 17 a) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and eigenspace dimension 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
Consider the following matrix: -18 0 5 0 20 -30 -3 10 0 40 0-30 0 A = 0 0 0 0-30 -15 0 5 0 17 a) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and eigenspace dimension 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
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:
A =
-18 0 5 0 20
-30-3 10 0 40
0 -3 0 0
0 0 -3 0
0 17
0
0
-15 0 5
a) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces.
Number of Distinct Eigenvalues: 1
Eigenvalue: 0 has multiplicity 1 and eigenspace dimension 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%2F66ede09b-a97c-4b02-8d30-992b8489d76f%2Fd1y8ehj_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following matrix:
A =
-18 0 5 0 20
-30-3 10 0 40
0 -3 0 0
0 0 -3 0
0 17
0
0
-15 0 5
a) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces.
Number of Distinct Eigenvalues: 1
Eigenvalue: 0 has multiplicity 1 and eigenspace dimension 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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