RANK OF A MATRIX

To find rank of any given matrix first we have to find the echelon form(triangular form)

Procedure to find Echelon form (triangular form) :

(i) The first element of every non-zero 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.

Example 1 :

Number of non zero rows is 2. So, rank of the given matrix = 2.

Example 2 :

Number of non zero rows is 3. So, rank of the given matrix is 3.

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