The linear tranformation L defined by maps P4 into P3. (a) Find the matrix representation of I with respect to the ordered bases S = L(p(x)) = 15p - 13p" 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) = 6x³ – 13x and g(x) = x² - 6. [L(p(x))] F = [L(g(x))] F =

The linear tranformation L defined by maps P4 into P3. (a) Find the matrix representation of I with respect to the ordered bases S = L(p(x)) = 15p - 13p" 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) = 6x³ – 13x and g(x) = x² - 6. [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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