Q. 51 C5.0( 1 Vote )

# If possible, using elementary row transformations, find the inverse of the following matrices

Let A =

To apply elementary row transformations we write:

A = IA where I is the identity matrix

We proceed with operations in such a way that LHS becomes I and the transformations in I give us a new matrix such that

I = XA

And this X is called inverse of A = A-1

Note: Never apply row and column transformations simultaneously over a matrix.

So we have:

Applying R2 R2 – (5/2)R1

Applying R3 R3 - R2

Applying R1 R1 + R2

=

Applying R2 R2 - 5R3

=

Applying R1 R1 + 2R3

=

Applying R1 (1/2)R1 and R3 2R3

=

As we got Identity matrix in LHS.

A-1 =

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Determinants of Matrices of different order59 mins
Types of Matrices & Properties51 mins
Determining a determinant63 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 mins