Question
Define skew-hermitian matrix, orthogonal matrix and unitary matrix with an example of each.
Answer :
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A skew-Hermitian matrix is a square matrix (A) for which the conjugate transpose is equal to the negative of the matrix itself, i.e., (A^\dagger = -A). This implies that the diagonal elements are purely imaginary or zero. An example of a skew-Hermitian matrix is: [ A = \begin{bmatrix} 0 & i \ -i & 0 \end{bmatrix} ] Here,
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