i m nt able to get anytng of ths concept plzz hepl :(
First of all make it clear in your mind that what elementary transformations you can apply to find the inverse of matrix.
The elementary transformations that can be applied to a matrix are:
1. Interchange of any two rows or columns of a matrix
It is denoted as Ri ↔ Rj or Ci ↔ Cj
2. Elements of any row or column multiplied by a non-zero number
It can be denoted as Ri ↔ kRi of Ci ↔ kCi,where k is a non-zero constant.
3. Addition to the elements of any row or column; the corresponding elements of any other row
or column multiplied by any non-zero number.
It is denoted as Ri → Ri + kRj or Ci → Ci + kCj.
Using these operations we can find the inverse of a given matrix. The steps of algorithm to find the inverse of given matrix are:
Step 1. Obtain the square matrix, say A
Step 2. Write A = In A
Step 3. Perform the sequence of elementary operations on A on the LHS and the pre-factor In on the RHS till we obtain the result In = BA
Step 4. Write A-1 = B
Here is an example to find the inverse of the given matrix, using the elementary row operations:
Find the inverse of the matrix.
Now, A = IA
After getting this concept,you are suggested to go through the study material again. This
concept is explained nicely with the help of video in our study material.That will help you a lot.
Still if you face any problem, then do get back to us.