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22. P = 1 1 01 00 1 A = 500 03 0 00 1 2 A' = 5 22 0 32 001

22. P = 1 1 01 00 1 A = 500 03 0 00 1 2 A' = 5 22 0 32 001

Advanced Engineering Mathematics
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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11. Please answer only Question# 22
Similar Matrices In Exercises 19-22, use the matrix P to show that the matrices A and A' are similar. 19. P = 20. P = A = A' 21. P = H 22. P = 0 0 2₁A = 500 = 1 0 1 1 1 1 001 4 0, A = = 03 [1-1¹2] 9 A = 5 8 0 5 0 0 12 7 11 - 20 - 10 0 4 9 A' 0, A'= 6 00 3 0 A' 01 = = = [43] 5 10 0 5 8 42 0 12 6 2 2 032 00 1
Transcribed Image Text:Similar Matrices In Exercises 19-22, use the matrix P to show that the matrices A and A' are similar. 19. P = 20. P = A = A' 21. P = H 22. P = 0 0 2₁A = 500 = 1 0 1 1 1 1 001 4 0, A = = 03 [1-1¹2] 9 A = 5 8 0 5 0 0 12 7 11 - 20 - 10 0 4 9 A' 0, A'= 6 00 3 0 A' 01 = = = [43] 5 10 0 5 8 42 0 12 6 2 2 032 00 1
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