Consider the following linear map T: P3 → P3 defined as follows: T(ao + a1r + azx² + azx³) = ao + a(r+ 2) + a2(x+ 2)² + a3(x + 3)³ = (ao + 2a1 + 4az + 8a3) + (a1 + 4a2 + 12a3)r + (a2 + 6a3)x² + a3r³ %3D a) Determine if it is an isomorphism.
Consider the following linear map T: P3 → P3 defined as follows: T(ao + a1r + azx² + azx³) = ao + a(r+ 2) + a2(x+ 2)² + a3(x + 3)³ = (ao + 2a1 + 4az + 8a3) + (a1 + 4a2 + 12a3)r + (a2 + 6a3)x² + a3r³ %3D a) Determine if it is an isomorphism.
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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