⇒True,
If an elementary row operation is applied to a matrix that is in row echelon form, the resulting matrix will still be in row echelon form.
The Meaning of Elementary row operation , is that changes are made in rows by applying Operations
[tex]R_{i}\rightarrow kR_{i}----\text{Where k is any real number.}\\\\R_{i}\rightarrow kR_{i}\pm mR_{j}\\\\R_{i}\leftrightarrow kR_{j}[/tex]
⇒By applying elementary row operation, we can get matrix of order 1×n,2×n,....,n×n, that is matrix having 1 row, 2 row ,or Identical to Original matrix.So, the resulting matrix will still be in Row echelon form.
→We use row echelon method to find , Rank of Matrix.
