For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. T s-3t s+t 5t :s, t in R (a) Find a basis for the subspace. A basis for the subspace is . (Use a comma to separate answers as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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For the subspace below, (a) find a basis for the subspace, and (b) state the dimension.
||:
s - 3t
s+t
5t
:s, t in R
(a) Find a basis for the subspace.
A basis for the subspace is .
(Use a comma to separate answers as needed.)
Transcribed Image Text:For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. ||: s - 3t s+t 5t :s, t in R (a) Find a basis for the subspace. A basis for the subspace is . (Use a comma to separate answers as needed.)
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