### Elementary Matrix

In mathematics, an elementary matrix is nothing but a matrix obtained by performing only one elementary transformation. They can be denoted as follows:

- Elementary matrix obtained by interchanging i, j
^{th}rows of I is denoted by E_{ij}. - Elementary matrix obtained by multiplying i
^{th}row of I with non-zero constant K is denoted by E_{i}(k) - Elementary matrix obtained by adding products of elements of j
^{th}row of I and a constant m is added to the corresponding elements of i^{th}row, is denoted by E_{ij}(m).