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Engineering Mathematics
Linear Algebra
GATE 2016
Easy

A real square matrix A is called skew-symmetric if

  • AA^T = A
  • BA^T = A^-1
  • A^T = -A
  • DA^T = A + A^-1

Explanation

A matrix is skew-symmetric when its transpose equals its own negative: A^T = -A. (Symmetric matrices instead satisfy A^T = A.)

Source: GATE ME 2016 Set-3 (2016)

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