Using elementary transformations, find the inverse of each of the matrices.

Question

Using elementary transformations, find the inverse of each of the matrices.
A 2x2 matrix with elements: first row [6, -3], second row [-2, 1].

Philoid · Accepted Answer

First of all we need to check whether the matrix is invertible or not. For that-

For the inverse of a matrix A to exist,

Determinant of A ≠ 0

Here ∣A∣ = (6)(1) – (-2)(-3) = 0

So the matrix is not invertible.

∴ the inverse of the given matrix does not exist.