# Find the Inverse of the Matrix A = [(1,2,-2),(-1,3,0),(0,-2,1)]Using Elementary Row Transformations. - Mathematics and Statistics

Find the inverse of the matrix A = [(1,2,-2),(-1,3,0),(0,-2,1)]using elementary row transformations.

#### Solution

A = [(1,2,-2),(-1,3,0),(0,-2,1)]

= 1[3] - 2[-1] - 2[2]

= 3 + 2 - 4 = 1 != 0 => A^(-1) exist

we know

Concept: Matrices - Inverse of a Matrix Existance
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