Find the matrix A that has the given eigenvalues and corresponding eigenvectors. ·()}-·---()}----{()} = 0 = = 1 = A = A₁ = -1 =
Find the matrix A that has the given eigenvalues and corresponding eigenvectors. ·()}-·---()}----{()} = 0 = = 1 = A = A₁ = -1 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer both questions.
![2.
Find the matrix A that has the given eigenvalues and corresponding eigenvectors.
= =
--()----0---(-)
{}}
EEE
A₁ = -1 =
1 =
[PD] =
-12.
Diagonalize A if possible. (Find P and D such that A = PDP-1 for the given matrix A. Enter your answer as one augmented matrix. If the matrix is not able to be diagonalized, enter DNE in any cell.)
[-2¹9]
8333](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41e86c7c-cb7c-484d-88c9-e34d11afc3d4%2F03e3ced1-33b7-47fd-a686-32f2859a205d%2F11efoi.png&w=3840&q=75)
Transcribed Image Text:2.
Find the matrix A that has the given eigenvalues and corresponding eigenvectors.
= =
--()----0---(-)
{}}
EEE
A₁ = -1 =
1 =
[PD] =
-12.
Diagonalize A if possible. (Find P and D such that A = PDP-1 for the given matrix A. Enter your answer as one augmented matrix. If the matrix is not able to be diagonalized, enter DNE in any cell.)
[-2¹9]
8333
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