For the subspace below, (a) find a basis, and (b) state the dimension. 3a + 6b-c 12a - 4b-4c - 9a + 5b + 3c - 3a+b+c : a, b, c in R

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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For the subspace below, (a) find a basis, and (b) state the dimension.
3a + 6b-c
12a - 4b-4c
- 9a + 5b + 3c
- 3a+b+c
+b+
: a, b, c in R
a. Find a basis for the subspace.
A basis for the subspace is .
Transcribed Image Text:For the subspace below, (a) find a basis, and (b) state the dimension. 3a + 6b-c 12a - 4b-4c - 9a + 5b + 3c - 3a+b+c +b+ : a, b, c in R a. Find a basis for the subspace. A basis for the subspace is .
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