# FIND THE RANK OF THE MATRIX BY ROW REDUCTION METHOD

Find the Rank of the Matrix by Row Reduction Method :

Here we are going to see some example problems to know the method of finding rank of a matrix by row reduction method.

## Find the Rank of the Matrix by Row Reduction Method - Examples

Question 1 :

Solution :

 R2 -> R2 - 2R1 R3 -> R3 - 5R1

The number of non zero rows are 2. Hence the rank of the above matrix is 2.

Question 2 :

Solution :

By dividing R2 by -7, we get

Hence the rank of the given matrix are 3.

Question 3 :

Solution :

## Find Rank of Matrix With Gauss Jordan Method

Question 1 :

Find the inverse of each of the following by Gauss-Jordan method

Solution :

Now let us the multiply the second row by 2.

Question 2 :

Solution :

Question 3 :

Solution :

By multiplying the second and third row by negative sign, we get the inverse matrix.

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