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A = [ 2 B =[ 3 C[ 1+i 5+2i 1 + i 15+i 3-i; i; 1-4i; 3i 52i 1- i 7 1 5 3+ i 4 + 3i; 3; -i i 2+5i; 4i -3+i i) Which one of the matrices A, B and C are Hermisian ? ii) Which one of the matrices A, B and C are Normal? iii) Which one of the matrices A, B and C are Unitary ? 4 - 3i 3 2- - 7i] 1 ] 1]

A = [ 2 B =[ 3 C[ 1+i 5+2i 1 + i 15+i 3-i; i; 1-4i; 3i 52i 1- i 7 1 5 3+ i 4 + 3i; 3; -i i 2+5i; 4i -3+i i) Which one of the matrices A, B and C are Hermisian ? ii) Which one of the matrices A, B and C are Normal? iii) Which one of the matrices A, B and C are Unitary ? 4 - 3i 3 2- - 7i] 1 ] 1]

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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[2 B =[ 3 C || = || = 5+2i 1 + i [1+i 15+i 3-i; i; 1-4i; 5- 2i 1- i 3i 4 + 3i; 3; 7 1 5 i 2+5i; 4i i) Which one of the matrices A, B and C are Hermisian ? ii) Which one of the matrices A, B and C are Normal? iii) Which one of the matrices A, B and C are Unitary? 4 - 3i 3 3+i -i -3+i 2-7i] ET 1] ]
Transcribed Image Text:[2 B =[ 3 C || = || = 5+2i 1 + i [1+i 15+i 3-i; i; 1-4i; 5- 2i 1- i 3i 4 + 3i; 3; 7 1 5 i 2+5i; 4i i) Which one of the matrices A, B and C are Hermisian ? ii) Which one of the matrices A, B and C are Normal? iii) Which one of the matrices A, B and C are Unitary? 4 - 3i 3 3+i -i -3+i 2-7i] ET 1] ]
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