Let V = R[x] = {p(x): grad (p(x) ≤ n} the vector space of the set of polynomials of degree less than or equal to: n(n E N) and f: R[x] → Ra function given by: f(ao + a₁x + + anx") = ao ... show that f is a homomorphism (linear transformation). Also calculate its kernel and image.
Let V = R[x] = {p(x): grad (p(x) ≤ n} the vector space of the set of polynomials of degree less than or equal to: n(n E N) and f: R[x] → Ra function given by: f(ao + a₁x + + anx") = ao ... show that f is a homomorphism (linear transformation). Also calculate its kernel and image.
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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