Echelon form examples 1 || 17MAT11 (PART-3) || CBCS MATHS SYLLABUS (PART-3) || 15MATDIP41(PART-3)

in this video explaining few examples of this method. How to use the row operation and also find the rank of the matrix. The echelon form of a matrix is a special form that is obtained by performing a series of row operations on the matrix. The echelon form of a matrix has the following properties:
All non-zero rows are above any rows of zeros.
The leading entry (the first non-zero entry) in each non-zero row occurs to the right of the leading entry in the previous row.
All entries in a column above a leading entry are zeros.

The echelon form is useful for solving systems of linear equations and for finding the rank of a matrix. The rank of a matrix is the number of non-zero rows in the echelon form of the matrix. The echelon form can also be used to find the row reduced form of a matrix.

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