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    Symmetric Matrix

    Definition

    A symmetric matrix is a square matrix that satisfies A^T = A, where A^T denotes the transpose, so a_(i j) = a_(j i). This also implies A^(-1) A^T = I, where I is the identity matrix. For example, A = [4 | 1 1 | -2] is a symmetric matrix. Hermitian matrices are a useful generalization of symmetric matrices for complex matrices.

    Related Wolfram Language symbol

    SymmetricMatrixQ

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