JEE Main & Advanced Mathematics Matrices Echelon Form of a Matrix

Echelon Form of a Matrix

Category : JEE Main & Advanced

A matrix A is said to be in Echelon form if either A is the null matrix or A satisfies the following conditions:

 

(1) Every non- zero row in A precedes every zero row.

 

(2) The number of zeros before the first non-zero element in a row is less than the number of such zeros in the next row.

 

If can be easily proved that the rank of a matrix in Echelon form is equal to the number of non-zero row of the matrix.

 

Rank of a matrix in Echelon form : The rank of a matrix in Echelon form is equal to the number of non-zero rows in that matrix.

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