Elementary Row operations

• Interchange of two rows
  • $$ \begin{align*} R_a\leftrightarrow R_b \end{align*} $$
• Multiplication of a row by a non-zero number
  • $$R_{a}\rightarrow cR_a$$
• Addition of a multiple of one row to another row
  • $$R_{a}\rightarrow R_a+cR_b$$