Echelon form of a matrix

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          ECHELON FORM OF A MATRIX

 A matrix is said to be in Echelon form if it has following properties.
i) Zero row, if any, are below any non-zero row.
ii) The first non-zero entry in each non-zero is equal to 1.
iii) 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.
Note: The condition (ii) is optional.
Important:The number of non-zero rows in the row echelon form of A is the rank of A
Examples of echelon form are:
 Example:



This is in echelon form and the number of non-zero rows is 3.
Therefore Rank (A) = 3.
Link for video lecture: https://www.youtube.com/watch?v=fODOARTOJYg&t=28s

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