=1 (a) V=R2x2, U = {AEV | sled A = 0}. (b) V=R³, U= {(x, y, z) = V | 2x+y-z = 0}. (c) VR₂[x], U = {pЄ V | p(0) = 2}. (d) V=R2, U = {(a,b) € V | a = 2b}. (e) V=C², U= {(y, z) Є V | y=2z}.
=1 (a) V=R2x2, U = {AEV | sled A = 0}. (b) V=R³, U= {(x, y, z) = V | 2x+y-z = 0}. (c) VR₂[x], U = {pЄ V | p(0) = 2}. (d) V=R2, U = {(a,b) € V | a = 2b}. (e) V=C², U= {(y, z) Є V | y=2z}.
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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In which of the following examples is the set U not a subspace of the space V?
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