![[Pasted image 20231109120335.png#invert_B]] Skew projection into $\vec n^{\intercal}\vec x = 0$ along $\vec v$ $\huge\begin{align*} A&= I - \frac{1}{{\vec n^{\intercal} \vec v}}\vec v \vec n ^ {\intercal}\\ &= I- \frac{1}{\vec n^{\intercal}\hat v} \hat v \hat n^\intercal \end{align*} $ >[!info] Symmetry > Not symmetric #### Determinant $\huge \det A = 0$ #### Inverse A skew transformation has no inverse (unless it is is a [[Orthogonal Projection Transformation]])