How can I find [L] from basis B to basis C, if basis B = {1 + x + x^2, 1 + x, 2x + x^2} and basis C = {1 + x, x - x^2, 3 + x^2}? L(p) = p + p', meaning that the linear transformation is the up to 2nd degree polynomial plus its own derivative.
How can I find [L] from basis B to basis C, if basis B = {1 + x + x^2, 1 + x, 2x + x^2} and basis C = {1 + x, x - x^2, 3 + x^2}? L(p) = p + p', meaning that the linear transformation is the up to 2nd degree polynomial plus its own derivative.
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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How can I find [L] from basis B to basis C, if basis B = {1 + x + x^2, 1 + x, 2x + x^2} and basis C = {1 + x, x - x^2, 3 + x^2}? L(p) = p + p', meaning that the linear transformation is the up to 2nd degree polynomial plus its own derivative. Thank you in advance.
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