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Question

Which among the following is/are hermitian matrix


A

[1ii1]

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B

ii5ii0503i

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C

[i+13i3ii+1]

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D

[1001]

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Solution

The correct option is D

[1001]


We already saw that a Hermitian matrix is a square matrix with complex entries that is equal to its own conjugate Transpose.

Here in option a : the transpose will be [1ii1] . And the conjugate of this will be [1ii1] which is same as original matrix

Here in option b : the transpose will be ii5ii0503i And the conjugate of this will be ii5ii0503i which is not the same as original matrix

Here in option c : the transpose will be [i+13i3ii+1]. And the conjugate of this will be [i+13i3ii+1] which is not the same as original matrix

Here in option d : the transpose will be [1001]. And the conjugate of this will be [1001] which is same as original matrix


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