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 =

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 17E: Find the determinant of the matrix in Exercise 15 using the method of expansion by cofactors. Use a...
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The linear tranformation I 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 =
Transcribed Image Text:The linear tranformation I 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 =
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