Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the

Question

3 years ago

6

Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the

form [a b c] , where at most one of a , b and c is non 0.
The set is a subspace.
The set is not a subspace.
If so, give a proof. If not, explain why not.

Mathematics

1 answer:

AveGali [126] · Answer 1 · 2022-10-14T09:24:45+03:00

AveGali [126]3 years ago

7 0

Answer:

Not a subspace

Step-by-step explanation:

(4,0,0) and (0,4,0) are vectors in R3 with zero or one entries being nonzero, but their sum, (4,4,0) has two nonzero entries.