{
    "problem": "Given $\\mathbf{a} = \\begin{pmatrix} -7 \\\\ 0 \\\\ 1 \\end{pmatrix}$ and $\\mathbf{b} = \\begin{pmatrix} 4 \\\\ 2 \\\\ -1 \\end{pmatrix},$ find $\\mathbf{a} - 3 \\mathbf{b}.$",
    "level": "Level 2",
    "type": "Precalculus",
    "solution": "We have that\n\\[\\mathbf{a} - 3 \\mathbf{b} = \\begin{pmatrix} -7 \\\\ 0 \\\\ 1 \\end{pmatrix} - 3 \\begin{pmatrix} 4 \\\\ 2 \\\\ -1 \\end{pmatrix} = \\boxed{\\begin{pmatrix} -19 \\\\ -6 \\\\ 4 \\end{pmatrix}}.\\]"
}