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"name": "Represent a linear map as a matrix given a basis",
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"full_name": "Newcastle University Mathematics and Statistics",
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"notes": "<p><strong>15/02/2013:</strong></p>\n <p>First draft finished.</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. Let the linear map $\\phi: P_4 \\rightarrow P_4$ be defined by: \\[\\phi(p(x))=p(a)+p(bx+c).\\]Using the standard basis for range and domain find the matrix given by $\\phi$.</p>"
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