Math Tools

Matrix Calculus

• Online tool fo compute derivatives of matrix

• Wikipedia: Matrix Calculus

• Matrix Determinant Lemma:

  For invertible matrix $\mathbf{A}$ and column vector $\mathbf{u}$ and $\mathbf{v}$,

$$\det (\mathbf{A}+\mathbf{u}{\mathbf{v}}^T)=(1+{\mathbf{v}}^T{\mathbf{A}}^{-1}\mathbf{u})\cdot \det (\mathbf{A})$$

Graph

• A easy tool to graph functions: desmos