# Using elementary

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 = (3)(2) – (-1)(-4) = 2

So the matrix is invertible.

Now to find the inverse of the matrix,

We know AA-1 = I

Let’s make augmented matrix-

[ A : I ] Apply row operation- R2 R2 + R1 Apply row operation- R1 R1/3 Apply row operation- R1 R1 + R2 Apply row operation- R2 R2 The matrix so obtained is of the form –

[ I : A-1 ]

Hence inverse of the given matrix- Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

<span lang="EN-USMathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

Using matrices soMathematics - Board Papers

On her birthday SMathematics - Board Papers

Using matrices soMathematics - Board Papers

<span lang="EN-USRS Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal - Mathematics

<span lang="EN-USMathematics - Exemplar