Fix a finite-dimensional real inner product space. Does a self-adjoint operator have a symmetric matrix with respect to all bases, or just with respect to orthonormal bases? Also, does this change at all when one admits a pseudo-Euclidean inner product, rather than the (standard) Euclidean inner product?
2026-03-26 06:20:27.1774506027
Matrices of self-adjoint operators
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