inverse matrix

2020-11-16 LinearAlgebra shark 1 min read

if $x\in \mathbb{R}$ , $y = \frac{1}{x}$ .

if $x \in \mathbb{R}^{2 \times 2}$ , then

(1) $\begin{align*}x & = \begin{bmatrix} a, b \\ c, d \end{bmatrix} \\y & = \frac{1}{ad - bc} \begin{bmatrix} d, -b \\ -c, a \end{bmatrix}\end{align*}$

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