The linear tranformation L defined byL(p(x)) = -7p – 14p"maps P, into P3.(a) Find the matrix representation of L with respect to the ordered basesE = {x°, x?, x, 1} and F{x? + x + 1, x + 1,1}S =(b) Use Part (a) to find the coordinate vectors of L(p(x) and L(g(x))where p(x) = -3æ³ – 12x and g(x) = x? – 6.[L(p(x))]F[L(g(x))]F =

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The linear tranformation L defined by L(p(x)) = -7p' – 14p" maps Pa into P3. (a) Find the matrix representation of L with respect to the ordered bases E = {x³, x2, x, 1} and F = {x² + x + 1, x +1,1} S = (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = -3æ³ – 12x and g(x) = x? – 6. [L(p(x))]F = [L(g(x))]F = %3D

The linear tranformation L defined by L(p(x)) = -7p' – 14p" maps Pa into P3. (a) Find the matrix representation of L with respect to the ordered bases E = {x³, x2, x, 1} and F = {x² + x + 1, x +1,1} S = (b) Use Part (a) to find the coordinate vectors of L(p(x)) and L(g(x)) where p(x) = -3æ³ – 12x and g(x) = x? – 6. [L(p(x))]F = [L(g(x))]F = %3D

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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