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6 Nov 2019
The linear operator L defined by L(p(x)) = p'(0) + 2p'(x) maps P3 into P2. Find the matrix representation of L with respect to the ordered bases [x2 , x, 1] and [1 + x, 1 - x], A = Use your answer to find the coordinate vector of L(p(x)) with respect to the ordered basis {1 + x, 1 - x]. p(x) = -x2 + 2x + 7. Coordinate vector of L(p(x)) is Show transcribed image text
The linear operator L defined by L(p(x)) = p'(0) + 2p'(x) maps P3 into P2. Find the matrix representation of L with respect to the ordered bases [x2 , x, 1] and [1 + x, 1 - x], A = Use your answer to find the coordinate vector of L(p(x)) with respect to the ordered basis {1 + x, 1 - x]. p(x) = -x2 + 2x + 7. Coordinate vector of L(p(x)) is
Show transcribed image text