Question

10. Let V be a five-dimensional vector space,
and let S be a subset of V which spans V. Then
S
(1 Point​

Answer 1

Step-by-step explanation:

5/x+y-2/x-y=-1

15/x+y+7/x-y=10 where x is not = 0,y is not = 0

Answer 2

Answer:

Cannot span V, but can be linearly independent or dependent.

We say a set S of vectors in a vector space V spans V

if,  $V = span(S)$

• Every vector in V is equivalently a linear combination of vectors in S. This definition does not specify that a vector may only be a linear combination in one direction, simply that it can be a linear combination in at least one direction.

There is a theorem in Mathematics regarding this.

Theorem:

The set of all linear combinations of vectors in S is the subspace spanned by a non-empty subset S of a vector space V. This theorem is so well-known that it is sometimes referred to as the set's span definition.

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