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Hermitian matrix

Matrix equal to its conjugate-transpose

Hermitian matrix

Uncommon card · No. 121100

In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex-valued entries that is equal to its own conjugate transpose. That is, if the element in the ⁠ j {\displaystyle j} ⁠-th row and ⁠ k {\displaystyle k} ⁠-th column of a Hermitian matrix ⁠ A {\displaystyle A} ⁠ is some complex number ⁠ A j k = x + i y {\displaystyle A_{jk}=x+iy} ⁠, then the element in the ⁠ k {\displaystyle k} ⁠-th row and ⁠ j {\displaystyle j} ⁠-th column is its complex conjugate ⁠ A k j =...

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