108
Question
The following matrix is HERMATIAN Matrix ⎡⎢⎣1−i5i50503⎤⎥⎦
The following matrix is HERMATIAN Matrix ⎡⎢⎣1−i5i50503⎤⎥⎦
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Solution
The correct option is A True
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 ⎡⎢⎣1i5−i50503⎤⎥⎦
the conjugate of this will be ⎡⎢⎣1−i5i50503⎤⎥⎦ which is same as original matrix
Therefore it is a Hermitian matrix.
True
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 ⎡⎢⎣1i5−i50503⎤⎥⎦
the conjugate of this will be ⎡⎢⎣1−i5i50503⎤⎥⎦ which is same as original matrix
Therefore it is a Hermitian matrix.
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