Matrices

Q&ACategory: MathematicsMatrices
SAYAK NAGSAYAK NAG asked 6 months ago

If H is a Hermitian matrix,prove that det H is a real number.

1 Answers
Best Answer
SANTANU SINGHSANTANU SINGH answered 6 months ago

We know that
The eigenvalues of hermitian matrices are real, of skew hermitian matrices are purely imaginary.
And we also know that det of any matrix is the multiplication of the Eigen value of this matrix.
Using these two one can varify that the det H is real number.
Hope this help you.

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