Answer to Question #108776 in Linear Algebra for Kentse

Question

Find a c-inverse of the matrix
A D
2
4
1 0
2

Answer 1

$AD=\begin{bmatrix} 2 & 4 \\ 10 & 2 \\ \end{bmatrix}$

inverse is given by,

$AD^{-1}=\frac{1}{4-40}\begin{bmatrix} 2 & -4 \\ -10 & 2 \\ \end{bmatrix}$

$AD^{-1}=\begin{bmatrix} -0.0556 & 0.1111 \\ 0.2778 & -0.0556 \\ \end{bmatrix}$