[3 -30 -60] Let A = 18 30 Find an invertible matrix X and a diagonal matrix D such that D = X-'AX. 0 -10 -17 X = D= Hint: The eigenvalues are -2, 3 and 3.
[3 -30 -60] Let A = 18 30 Find an invertible matrix X and a diagonal matrix D such that D = X-'AX. 0 -10 -17 X = D= Hint: The eigenvalues are -2, 3 and 3.
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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![[3 -30 -60]
Let A =
18
30
Find an invertible matrix X and a diagonal matrix D such that D = X-'AX.
0 -10 -17
X =
D=
Hint: The eigenvalues are -2, 3 and 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70a05657-0307-4b7c-962c-ab3824846297%2F66b3e079-b069-439c-93c1-868874b4723f%2Fev675gy_processed.png&w=3840&q=75)
Transcribed Image Text:[3 -30 -60]
Let A =
18
30
Find an invertible matrix X and a diagonal matrix D such that D = X-'AX.
0 -10 -17
X =
D=
Hint: The eigenvalues are -2, 3 and 3.
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