2. a) b) Let V R³. Let W be a subset of V where W = The vectors = {(20 + 30 ) ER ₁ USER} b a, b 2a 3b -2 -2 (1). (1) - W. Stove that (1) + (4) M Show 2 E W 8 8 Show that W is a subspace of V.
2. a) b) Let V R³. Let W be a subset of V where W = The vectors = {(20 + 30 ) ER ₁ USER} b a, b 2a 3b -2 -2 (1). (1) - W. Stove that (1) + (4) M Show 2 E W 8 8 Show that W is a subspace of V.
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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Transcribed Image Text:2.
a)
b)
Let V R³. Let W be a subset of V where W
-
-2
(0-3)
2
8
Show that W is a subspace of V.
The vectors
a
=
b
{ (+) ERODER}
€ R³, a, b € R
2a 3b
EW. Show that
1
-2
())+ (1) ₁
2
8
E W
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