- #1
Wsaw
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Homework Statement
1) Determine if
a) (a,b,c), where b=a+c
b) (a,b,0)
are subspaces of R3
and
2) Determine whether the given vectors span R3
a)
v1 = (3,1,4)
v2 = (2,-3,5)
v3 = (5,-2,9)
v4 = (1,4,-1)
Homework Equations
- If u and v are vectors in W, then u + v is in W
- If k is any scalar and u is any vector in W, then ku is in W
- The set W of all linear combinations of v1,v2,...,vr is a subspace of V
The Attempt at a Solution
I know this may seems 2 relatively easy questions, i guess I'm missing something obvious here, but I was not able to figure out how to test for any subspaces and set for about 2 hours. How do we solve these kind of problems?
Thanks, Wsaw