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.
Question 1 :
Solution :
R_{2} -> R_{2} - 2R_{1} |
R_{3} -> R_{3} - 5R_{1} |
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 :
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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