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"url": "https://numbas.mathcentre.ac.uk/api/questions/12035/?format=api",
"name": "Do three given vectors form a spanning set and are they linearly independent?",
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"full_name": "Newcastle University Mathematics and Statistics",
"pk": 697,
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"metadata": {
"notes": "<p><strong>11/02/2013:</strong></p>\n <p>Finished first draft. Need to resolve the display of row vectors etc.</p>\n <p>Display of linear equations difficult to format e.g. variables under one another as got to use \\simplify where there are randomised coefficients. </p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Given the following three vectors $\\textbf{v}_1,\\;\\textbf{v}_2,\\;\\textbf{v}_3$ Find out whether they are a linearly independent set are not. Also if linearly dependent find the relationship $\\textbf{v}_{r}=p\\textbf{v}_{s}+q\\textbf{v}_{t}$ for suitable $r,\\;s,\\;t$ and integers $p,\\;q$.</p>"
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