1. Let v1 = [-3; 3; -4], v2 = [3; -2; 8] and y = [-12; 9; h]
For what value of is in the plane spanned by and ?
2. Which of the following sets are subspaces of ?
A.
B. arbitrary number
C. arbitrary number
D. arbitrary number
E.
F.
Check all that apply.
Sort of desperate for help
Thanks in advance!
Ok. That's fine. So let's go through an example, ok?
A subspace must be closed under scalar multiplication and vector addition. So, for example F. is not a subspace since if we let then surely but since has the quality that we see that . But, this HAS to happen in a subspace. So, is not a subspace.