Rank of matrix questions 3 :
Here we are going to see how to solve the given matrix using the method rank of matrix.
Procedure to find Echelon form (triangular form)
(i) The first element of every nonzero row is 1.
(ii) The row which is having every element zero should be below the non zero row.
(iii) Number of zeroes in the next non zero row should be more than the number of zeroes in the previous non zero row.
Question 3:

Solution:


R₁ <> R₂ 


R₂ => R₂  2R₁ 
2 5 7 52 2 2 2 18 () () () () ___________________ 0 3 4 34 ____________________  
R₃ => R₃  2R₁ 
2 1 1 0 2 2 2 18 () () () () ___________________ 0 1 3 18 ________________________  


R₃ => 3R₃ + R₂ 
0 3 9 54 0 3 4 34 () () () () _____________________ 0 0 5 20 ____________________  

Number of non zero rows is 3. So, the rank of the given matrix = 3.Now you can try the following questions for more practice.
Questions 
Solution  
1) Find the rank of the following matrix 


2) Find the rank of the following matrix 


4) Find the rank of the following matrix 


rank of matrix questions 3 rank of matrix questions 3  
5) Find the rank of the following matrix 


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