Show that A is an automorphism and find its inverse. Problem 2 Let P3[x] be the vector space of all polynomial of order at most 3. Suppose that B = {1, (x + 1), (x + 1)², (x + 1)³). Show that B is a basis for P3|z]. Given p(x)= x³ + x, find [p(x)]B.
Show that A is an automorphism and find its inverse. Problem 2 Let P3[x] be the vector space of all polynomial of order at most 3. Suppose that B = {1, (x + 1), (x + 1)², (x + 1)³). Show that B is a basis for P3|z]. Given p(x)= x³ + x, find [p(x)]B.
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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