The linear tranformation L defined by maps P4 into P3. (a) Find the matrix representation of L with respect to the ordered bases S = L(p(x)) = -8p' + 2p" E = {x³, x², x, 1} and F = {x² + x + 1, x + 1,1} (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = 9x³ + 4x and g(x)=x² - 1. [L(p(x))] F = [L(g(x))] F =
The linear tranformation L defined by maps P4 into P3. (a) Find the matrix representation of L with respect to the ordered bases S = L(p(x)) = -8p' + 2p" E = {x³, x², x, 1} and F = {x² + x + 1, x + 1,1} (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = 9x³ + 4x and g(x)=x² - 1. [L(p(x))] F = [L(g(x))] F =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 38EQ
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