For the subspace below, (a) find a basis, and (b) state the dimer 6a+ 12b - 2c 9a-3b-3c - 12a + 5b + 4c - 3a+b+c ·b+c : a, b, c in R a. Find a basis for the subspace.
For the subspace below, (a) find a basis, and (b) state the dimer 6a+ 12b - 2c 9a-3b-3c - 12a + 5b + 4c - 3a+b+c ·b+c : a, b, c in R a. Find a basis for the subspace.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For the subspace below, (a) find a basis, and (b) state the dimension.
6a + 12b 2c
9a - 3b - 3c
- 12a + 5b + 4c
-
- 3a + b + c
: a, b, c in R
a. Find a basis for the subspace.
A basis for the subspace is .
(Use a comma to separate vectors as needed.)
b. State the dimension.
The dimension is 2.
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