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
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
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 12CM
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