Symmetric: A=AT. Skew-symmetric: A=−AT. Both together imply A=−A, so 2A=0 and A is the zero matrix.
If a matrix A is both symmetric and skew symmetric then :
Held on 11 Aug 2022 · Verified 13 Jul 2026.
A is a diagonal matrix
A is a zero matrix
A is a scalar matrix
A is a square matrix
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