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]

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 9E
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Question
[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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