#Linear Algebra

• Quadratic Form of a Skew Symmetric Matrix

  October 26, 2024

  While reading some control theory books or papers you may stumble onto expressions like the following:

  $S$ is a skew-symmetric matrix (i.e. $S = -S^T$ ) so we have $X^T S X = 0 \space \space \forall X$

  With no demonstrations whatsoever.

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