For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. p-2q 8p+ 3r - 2q +7r -5p+10r p, q, r in R (a) Find a basis for the subspace. A basis for the subspace is . (Use a comma to separate answers as needed.) (b) State the dimension. The dimension is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Linear Algebra

For the subspace below, (a) find a basis for the subspace, and (b) state the dimension.
p-2q
8p+ 3r
- 2q +7r
-5p+10r
p, q, r in R
(a) Find a basis for the subspace.
A basis for the subspace is .
(Use a comma to separate answers as needed.)
(b) State the dimension.
The dimension is
Transcribed Image Text:For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. p-2q 8p+ 3r - 2q +7r -5p+10r p, q, r in R (a) Find a basis for the subspace. A basis for the subspace is . (Use a comma to separate answers as needed.) (b) State the dimension. The dimension is
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