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"name": "Represent a linear map as a matrix with a given basis",
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"full_name": "Newcastle University Mathematics and Statistics",
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"notes": "<p><strong>13/02/2013:</strong></p>\n <p>Advice to be completed.</p>",
"licence": "Creative Commons Attribution 4.0 International",
"description": "<p>Let $P_n$ denote the vector space over the reals of polynomials $p(x)$ of degree $n$ with coefficients in the real numbers.</p>\n <p>Let the linear map $\\phi: P_4 \\rightarrow P_4$ be defined by:</p>\n <p>$\\phi(p(x))=ap(x) + (bx + c)p'(x) + (x ^ 2 + dx + f)p''(x)$</p>\n <p>Using the standard basis for range and domain find the matrix given by $\\phi$.</p>"
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