Explain why the subsetа — bS =a + ba, b E R-2b — Заof R3 is or is not a subspace of R³.

Given subset of R3 is S={a-ba+b-2b-3a|a,b∈R} explain if S is subspace of R3

Answered: Explain why the subset а — b S = a +b…

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Explain why the subset а — b S = a +b а,bER -26 – 3a of R3 is or is not a subspace of R³.

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

Explain why the subset
а — b
S =
a + b
a, b E R
-2b — За
of R3 is or is not a subspace of R³.

Expert Solution

Step 1

Given subset of R³ is

$S = {[\begin{matrix} a - b \\ a + b \\ - 2 b - 3 a \end{matrix}] | a, b \in R}$

explain if S is subspace of R³

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