Row Operations as Matrices

Coming Up With Row Operations as Matrices

Simply apply the row operation to identity matrix.

Examples in ${\mathbb{R}}^3$

$\lambda R_2\to R_2$

$$\left[\begin{array}{ccc}1& 0& 0\\ 0& \lambda & 0\\ 0& 0& 1\end{array}\right]$$

$R_2+\lambda R_1\to R_2$

$$\left[\begin{array}{ccc}1& 0& 0\\ \lambda & 1& 0\\ 0& 0& 1\end{array}\right]$$

$R_3\leftrightarrow R_1$

$$\left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 1& 0& 0\end{array}\right]$$

Related

• Finding Inverse Matrices