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 =
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Question
![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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F283b3a0d-0821-472c-a1ce-fcf162c3f2c6%2F558e6de3-3506-459d-bd95-4879d02609d4%2F45rkgew_processed.png&w=3840&q=75)
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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