Inverse of the matrix $\left[\begin{array}{cc}0.8 & -0.6 \ 0.6 & 0.8\end{array} ight]$ is

Question

Inverse of the matrix $\left[\begin{array}{cc}0.8 & -0.6 \ 0.6 & 0.8\end{array}ight]$ is

Aicharya · Accepted Answer

$\begin{array}{rlrl} & 	ext { Let } A=\left[\begin{array}{cc}0.8 & -0.6 \ 0.6 & 0.8\end{array}ight] \ & 	herefore & |\mathrm{A}| & =\left|\begin{array}{cc}0.8 & -0.6 \ 0.6 & 0.8\end{array}ight| \ & & =0.64+0.36 \ & =1 
eq 0 \ 	herefore & \quad & A^{-1} & =\left[\begin{array}{cc}0.8 & 0.6 \ -0.6 & 0.8\end{array}ight]\end{array}$

Inverse of the matrix $\left[\begin{array}{cc}0.8 & -0.6 \\ 0.6 & 0.8\end{array}\right]$ is

Solution