Problem 4. Explain whether or not the following sets are subspaces of the given vector space a+ (a) :a, beR of R³? -a (b) {[2] ER} of R²? (c) {p(t): p(1) = 1} of P₂?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
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Problem 4. Explain whether or not the following sets are subspaces of the given vector
space
(a)
: a, bɛR of R³?
(b)
:a €
of R?
(c) {p(t) : p(1) = 1} of P2?
Transcribed Image Text:Problem 4. Explain whether or not the following sets are subspaces of the given vector space (a) : a, bɛR of R³? (b) :a € of R? (c) {p(t) : p(1) = 1} of P2?
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