Practice problem
Let's try a problem using all the operations.
Given the matrix [001222421]\begin{bmatrix}0&0&1\\2&2&2\\4&2&1\end{bmatrix}024022121 perform the following operations: R3⟷R112 R2⟶R2R1⟷R2−4R1+R2⟶R23R3+R2⟶R2−12 R2⟶R2−1R2+R1⟶R1−1R3+R1⟶R1\begin{align}R_3\longleftrightarrow R_1\\ \tfrac12\ R_2\longrightarrow R_2\\ R_1\longleftrightarrow R_2\\ -4R_1+R_2\longrightarrow R_2\\ 3R_3+R_2\longrightarrow R_2\\ -\tfrac12\ R_2\longrightarrow R_2\\ -1R_2+R_1\longrightarrow R_1\\ -1R_3+R_1\longrightarrow R_1\end{align}R3⟷R121 R2⟶R2R1⟷R2−4R1+R2⟶R23R3+R2⟶R2−21 R2⟶R2−1R2+R1⟶R1−1R3+R1⟶R1 What is the resulting matrix?
Inverse Matrix
Identity Matrix
Zero Matrix
Transpose Matrix
Type a concept, like “slope” or “photosynthesis”.
