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gulaghasi [49]
2 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]2 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.

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Step-by-step explanation:

we know that

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see the attached figure to better understand the problem

step 1

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