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Engineering Maths · Q51

Linear Algebra

Engineering and GATE · Engineering Maths · question 51

Q51

If \[ A = [ array*20c 2 + i&3& - 1 + 3 i \\ - 5& i&4 - 2 i array ],\] then AA∗ will be (where, A∗ is the conjugate transpose of A)

If {\text{A}} = \left[ {\begin{array}{*{20}{c}} {2 + {\text{i}}}&3&{ - 1 + 3{\text{i}}} \\ { - 5}&{\text{i}}&{4 - 2{\text{i}}} \end{array}} \right],     then AA will be
(where, A is the conjugate transpose of A)
A.
Unitary matrix
B.
Orthogonal matrix
C.
Hermitian matrix
Answer
D.
Skew Hermitian matrix

Answer: Option C

Solution

Answer: Option C
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