Stretching the basis vectors by some factors. $\huge M_\text{resize} = \mat{ h & 0 & \cdots \\ 0 & v & \cdots \\ \vdots & \vdots & \ddots }$ #### [[Determinant]] $\huge \det \pa{M_\text{resize}} = ab$ #### [[Inverse Matrices|Inverse]] $\huge M_\text{resize} = \mat{ \frac{1}{h} & 0 & \cdots \\ 0 & \frac{1}{v} & \cdots \\ \vdots & \vdots & \ddots }$ >[!info] Symmetric > $\huge \pa{M_\text{resize}}^{\intercal} = M_\text{resize}$