14. The linear transformation L defined by L(p(x)) p(x) p(0) maps P3 into P2. Find the matrix representation of L with respect to the ordered bases [x2, x, 1] and [2, 1 x. For each of the following...

14. The linear transformation L defined by<br>L(p(x)) p(x) p(0)<br>maps P3 into P2. Find the matrix representation of<br>L with respect to the ordered bases [x2, x, 1] and<br>[2, 1 x. For each of the following vectors p(x)<br>in P3, find the coordinates of L (p(x)) with respect<br>to the ordered basis [2, 1 - x]:<br>(а) х? + 2х — 3<br>(b)<br>(d) 4x22x<br>(с) Зх<br>

Extracted text: 14. The linear transformation L defined by L(p(x)) p(x) p(0) maps P3 into P2. Find the matrix representation of L with respect to the ordered bases [x2, x, 1] and [2, 1 x. For each of the following vectors p(x) in P3, find the coordinates of L (p(x)) with respect to the ordered basis [2, 1 - x]: (а) х? + 2х — 3 (b) (d) 4x22x (с) Зх

Jun 04, 2022

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14. The linear transformation L defined by L(p(x)) p(x) p(0) maps P3 into P2. Find the matrix representation of L with respect to the ordered bases [x2, x, 1] and [2, 1 x. For each of the following...

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