P2 has basis B = {x+1, x+2} and R3 has basis C = {(1, 0, 0)T , (1, 1, 0)T , (1, 1, 1)T }. If the matrix of a linear transformation L : P2 → R3 is   1 4 2 3 3 1   for these bases, find L(x + 4). Q8. P, has basis B = {x+1,x+2} and R³ has basis C = {(1,0,0)", (1, 1,0)", (1,1, 1)"}.If the matrix of a linear transformation L: P2 → R³ is()1 42 33 1for these bases, find L(x + 4).

Answered: Image /qna-images/answer/12a6df15-c3a0-417c-a1dc-8b9bdd8e12f9.jpg

Answered: Q8. P2 has basis B = {x+1, x+2} and R³…

Q8. P2 has basis B = {x+1, x+2} and R³ has basis C = {(1,0,0)", (1, 1, 0)", (1,1, 1)"}. If the matrix of a linear transformation L: P2 → R³ is () 1 4 2 3 3 1 for these bases, find L(x+ 4).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

P₂ has basis B = {x+1, x+2} and R³ has basis C = {(1, 0, 0)^T , (1, 1, 0)^T , (1, 1, 1)^T }. If the matrix of a linear transformation L : P₂ → R₃ is   1 4 2 3 3 1   for these bases, find L(x + 4).

Q8. P, has basis B = {x+1,x+2} and R³ has basis C = {(1,0,0)", (1, 1,0)", (1,1, 1)"}.
If the matrix of a linear transformation L: P2 → R³ is
()
1 4
2 3
3 1
for these bases, find L(x + 4).

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