For the subspace below, (a) find a basis, and (b) state the dimension. 9a+ 18b - 3с 12а - 4b - 4с : а, b, c in R — За + 5b + с - За + b + с a. Find a basis for the subspace. A basis for the subspace is O. (Use a comma to separate vectors as needed.)

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 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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For the subspace below, (a) find a basis, and (b) state the dimension.
9а + 18b - 3с
12а - 4b - 4с
: a, b, c in R
- 3a + 5b + c
- За + b + c
a. Find a basis for the subspace.
A basis for the subspace is { } -
(Use a comma to separate vectors as needed.)
Transcribed Image Text:For the subspace below, (a) find a basis, and (b) state the dimension. 9а + 18b - 3с 12а - 4b - 4с : a, b, c in R - 3a + 5b + c - За + b + c a. Find a basis for the subspace. A basis for the subspace is { } - (Use a comma to separate vectors as needed.)
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