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Express as the sum of a Hermitian and a skew-Hermitian matrix
MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices
Problem
Express
A
A
A
as the sum of a Hermitian and a skew-Hermitian matrix, where
A
=
[
2
+
3
i
7
1
−
i
2
i
]
,
i
=
−
1
.
A=\begin{bmatrix}2+3i&7\\1-i&2i\end{bmatrix},\qquad i=\sqrt{-1}.
A
=
[
2
+
3
i
1
−
i
7
2
i
]
,
i
=
−
1
.
Related theory
Modulus and Conjugate
Complex Numbers
Matrices
Matrix operations
Properties of matrix operations
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