Q. 15

# Find the inverse of each of the following matrices by using elementary row transformations:

Given:- 3 x 3 square matrix

Tip:- Algorithm to find Inverse of a square matrix of ‘n’ order by elementary row transformation

(i) Obtain the square matrix, say A

(ii) Write A = InA

(iii) Perform a sequence of elementary row operation successively on A on the LHS and pre-factor In on the RHS till we obtain the result

In = BA

(iv) Write A-1 = B

Now,

We have,

A = I3A

Where I3 is 3 x 3 elementary matrix

Applying

Applying

Applying and

Applying

Applying and

Hence , it is of the form

I = BA

So, as we know that

I = A-1A

Therefore

A-1 = B

inverse of A

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Properties of Inverse Trigonomteric Functions35 mins
Graphs of inverse trigo functions48 mins
Inverse Trigonometric Functions - 0161 mins
Interactive Quiz | Graphs of inverse trigo functions39 mins
Questions Practice of Inverse trigonometric Functions30 mins
Interactive Quiz | Graphs of inverse Trigo functions41 mins
Inverse Trigonometric Functions - 0242 mins
Inverse Trigonometric Functions - 0339 mins
Inverse Trigonometric Functions - 0438 mins
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