For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that A = P D P > A:= ( (1, -3, 3 )|(3, -5, 3 )|(3,-3, 1)) -1 1 এ = -3 -5 -3 3 1 Since A =PD P, evaluate for A using its diagonalization
For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that A = P D P > A:= ( (1, -3, 3 )|(3, -5, 3 )|(3,-3, 1)) -1 1 এ = -3 -5 -3 3 1 Since A =PD P, evaluate for A using its diagonalization
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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Question
Evaluate for A^3 using its diagonalization
![Problem 9, 5.3 Diagonalization
1
For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that
1
A = PDP
> A:= ( (1, -3,3 )|(3, -5, 3 )|(3,-3, 1))
!!
1 3
3
-3-5 -3
3 3
1
Since A = P DP, evaluate for 4 using its diagonalization](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79e4a8a8-ba2f-4553-8d11-5d67ad8c56ae%2F5d33c2e5-6ef9-46fa-951f-954b2bf71302%2Fl245s7o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 9, 5.3 Diagonalization
1
For this matrix A, find a diagonal matrix D and invertible matrix P with inverse P such that
1
A = PDP
> A:= ( (1, -3,3 )|(3, -5, 3 )|(3,-3, 1))
!!
1 3
3
-3-5 -3
3 3
1
Since A = P DP, evaluate for 4 using its diagonalization
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