(a) The set of polynomials. [ Select] polynomials {p(x) = R[x] : p(1) = 7p(5)} is a subspace of the space R[z] of all a (b) The map → h a+b 2ab 2L is a linear map from R² to R³. [Select] <

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

True or False

(a) The set of
polynomials {p(x) = R[x] : p(1) = 7p(5)} is a subspace of the space R[x]of all
polynomials. [Select]
a
(b) The map →
h
a+b
2ab
2L
is a linear map from R² to R³. [Select]
>
Transcribed Image Text:(a) The set of polynomials {p(x) = R[x] : p(1) = 7p(5)} is a subspace of the space R[x]of all polynomials. [Select] a (b) The map → h a+b 2ab 2L is a linear map from R² to R³. [Select] >
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