# find the inverse of the matrix 1 3 -2 using elementart transformation ? -3 0 -5 2 5 0

let the given matrix is $A=\left[\begin{array}{c}1\\ -3\\ 2\end{array}\begin{array}{c}3\\ 0\\ 5\end{array}\begin{array}{c}-2\\ -5\\ 0\end{array}\right]$
let us find the inverse of matrix A by elementary row operation.
interchange

apply

apply ${R}_{1}\to 2{R}_{3}+{R}_{1}$

apply ${R}_{1}\to {R}_{1}-3{R}_{2}$

apply

thus inverse of the given matrix is

hope this helps you

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