- #1
pyroknife
- 613
- 4
Determine whether the subset S of M2x2 (2x2 are the subscripts for M, idk how to do put it on here) is a subspace.
Let S be the set of all diagonal matrices.
To check if something is a subspace, my teacher gave us 3 conditions.
1.) 0 vector is in S
2) if U and V are in S, then U+V is in S
3) If V is in S and c is a scalar, then cV is in S.
I'm not really sure how to check the first condition. A guess no vectors on a diagnol 2x2 matrix can be the 0 vector,thus S is not a subspace in this case?
Let S be the set of all diagonal matrices.
To check if something is a subspace, my teacher gave us 3 conditions.
1.) 0 vector is in S
2) if U and V are in S, then U+V is in S
3) If V is in S and c is a scalar, then cV is in S.
I'm not really sure how to check the first condition. A guess no vectors on a diagnol 2x2 matrix can be the 0 vector,thus S is not a subspace in this case?