Practice problem
Given the matrix A=[10203]A=\begin{bmatrix}1\\0\\2\\0\\3\end{bmatrix}A=10203 what are the row operations that give you [12300]\begin{bmatrix}1\\2\\3\\0\\0\end{bmatrix}12300
R3⟷R2R5⟷R3R_3\longleftrightarrow R_2\\R_5\longleftrightarrow R_3R3⟷R2R5⟷R3
R3⟷R5R2⟷R5R_3\longleftrightarrow R_5\\R_2\longleftrightarrow R_5R3⟷R5R2⟷R5
R2⟷R3R3⟷R5R_2\longleftrightarrow R_3\\R_3\longleftrightarrow R_5R2⟷R3R3⟷R5
R5⟷R3R5⟷R2R_5\longleftrightarrow R_3\\R_5\longleftrightarrow R_2R5⟷R3R5⟷R2
Type a concept, like “slope” or “photosynthesis”.