Practice problem
Given the matrix A=[0000100010001000100010000]A=\begin{bmatrix}0&0&0&0&1\\0&0&0&1&0\\0&0&1&0&0\\0&1&0&0&0\\1&0&0&0&0\end{bmatrix}A=0000100010001000100010000, what row operations are needed to get the identity matrix?
R1⟷R2R3⟷R4R_1\longleftrightarrow R_2\\ R_3\longleftrightarrow R_4R1⟷R2R3⟷R4
R1⟷R5R2⟷R3R_1\longleftrightarrow R_5\\ R_2\longleftrightarrow R_3R1⟷R5R2⟷R3
R1⟷R5R2⟷R4R_1\longleftrightarrow R_5\\ R_2\longleftrightarrow R_4R1⟷R5R2⟷R4
R1⟷R2R2⟷R3R_1\longleftrightarrow R_2\\ R_2\longleftrightarrow R_3R1⟷R2R2⟷R3
Type a concept, like “slope” or “photosynthesis”.
