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Find a unitary matrix P that diagonalizes the Hermitian matrix A, and determine P-¹AP. A = 0 15 - 5i 15 + 5i -15

Find a unitary matrix P that diagonalizes the Hermitian matrix A, and determine P-¹AP. A = 0 15 - 5i 15 + 5i -15

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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Find a unitary matrix P that diagonalizes the Hermitian matrix A, and determine P-¹AP. P= = (15-5 P-¹AP = i 3 50 0 5i A = [15²5i 15-+5²] 15+5 i -15 3 i 50 50 158) 3 i + 50 50 0 X X
Transcribed Image Text:Find a unitary matrix P that diagonalizes the Hermitian matrix A, and determine P-¹AP. P= = (15-5 P-¹AP = i 3 50 0 5i A = [15²5i 15-+5²] 15+5 i -15 3 i 50 50 158) 3 i + 50 50 0 X X
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