The linear operator L defined by L(p(x)) = p'(0) + 2p' (x) maps P, into P1. Find the matrix representation of L with respect to the ordered bases [x?, x, 1] and [1+ x, 1 – 2]. A = Use your answer to find the coordinate vector of L(p(x)) with respect to the ordered basis [1+ x,1 – r]. p(x) = -x? + 2x + 7. Coordinate vector of L(p(x)) is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The linear operator L defined by
L(p(x)) = p'(0) + 2p' (x)
maps P, into P1. Find the matrix representation of L with respect to the ordered bases [x?, x, 1] and [1+ x, 1 – 2].
A =
Use your answer to find the coordinate vector of L(p(x)) with respect to the ordered basis [1+ x,1 – r].
p(x) = -x? + 2x + 7. Coordinate vector of L(p(x)) is
Transcribed Image Text:The linear operator L defined by L(p(x)) = p'(0) + 2p' (x) maps P, into P1. Find the matrix representation of L with respect to the ordered bases [x?, x, 1] and [1+ x, 1 – 2]. A = Use your answer to find the coordinate vector of L(p(x)) with respect to the ordered basis [1+ x,1 – r]. p(x) = -x? + 2x + 7. Coordinate vector of L(p(x)) is
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