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A First Course in Linear Algebra
· Problem MINM-RQ-3
Matrices — Robert Beezer
Mathematics — Linear Algebra · unitary-matrices
Problem
Is the matrix
A
A
A
unitary? Why?
A
=
[
1
22
(
4
+
2
i
)
1
374
(
5
+
3
i
)
1
22
(
−
1
−
i
)
1
374
(
12
+
14
i
)
]
A = \begin{bmatrix} \frac{1}{\sqrt{22}}(4+2i) & \frac{1}{\sqrt{374}}(5+3i) \\ \frac{1}{\sqrt{22}}(-1-i) & \frac{1}{\sqrt{374}}(12+14i) \end{bmatrix}
A
=
[
22
1
(
4
+
2
i
)
22
1
(
−
1
−
i
)
374
1
(
5
+
3
i
)
374
1
(
12
+
14
i
)
]
Related theory
Hermitian Skew Hermitian And Unitary Matrices
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