Ononot — Let V be the vector space of all polynomials of degree at mo

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Vectors & Spaceshard

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Let $V$ be the vector space of all polynomials of degree at most $3$ . Consider the linear transformation $D: V \to V$ defined by $D(p(x)) = p'(x) - 2p(x)$ . What is the matrix representation of $D$ relative to the standard basis $B = \{1, x, x^2, x^3\}$ ?