Prove that the magnitude of determinant of a unitary, Basic Computer Science

Prove that the magnitude of determinant of a unitary

Prove that the magnitude of determinant of a unitary transform is unity. Also show that all the eigenvalues of a unitary matrix have unity magnitude

Show that the entropy of an N x 1 Gaussian random vector u with mean p. and covariance R. given by

is invariant under any unitary transformation

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Basic Computer Science: Prove that the magnitude of determinant of a unitary

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Basic Computer Science: Prove that the magnitude of determinant of a unitary

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