* 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 R_{i} ↔ R*j *or C_{i} ↔ C_{j}

2. Elements of any row or column multiplied by a non-zero number

It can be denoted as R*i* ↔ *k*R*i *of C*i* ↔ *k*C*i*,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 R_{i} → R_{i} + *k*R_{j} or C_{i} → C_{i} + *k*C_{j}.

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 = I_{n }A

**Step 3. **Perform the sequence of elementary operations on A on the LHS and the pre-factor I_{n }on the RHS till we obtain the result I_{n} = 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.

Solution:

Let

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.

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