Determine whether the following subset S of R³ is a subspace or not. a) S= 3|X2||x1x2x3 = X3 S - b) S = s,te R t +s c) S = X1, X3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 29EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=M22,W={[abcd]:adbc}
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2. Determine whether the following subset S of R3 is a subspace or not.
a) S =
X1x2X3
-CH
- 2t]
s,t e R
b) S =
S
t +s
c) S =
X1, X3 >
Transcribed Image Text:2. Determine whether the following subset S of R3 is a subspace or not. a) S = X1x2X3 -CH - 2t] s,t e R b) S = S t +s c) S = X1, X3 >
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