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.

After having gone through the stuff given above, we hope that the students would have understood, "Find the Rank of the Matrix by Row Reduction Method". 

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