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The vectors are crisp. You set up the matrix: $$\begin{bmatrix} 1 & 2 & 1 \ 2 & 1 & -1 \ 1 & 0 & 2 \end{bmatrix}$$ Wait—the book actually writes the vectors as columns . The solution explains: "Form a matrix with the vectors as columns and reduce to echelon form." You follow the row operations: $R_2 \leftarrow R_2 - 2R_1$, $R_3 \leftarrow R_3 - R_1$. Because the typeface is bold and the spacing is clean, you don't lose your place. by Seymour Lipschutz is the most efficient tool
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