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## Main Question or Discussion Point

My question is: For a vector x in a vector space V, is x a linear combination of itself?

I'm not entirely sure since the definition of linear combination in the text I'm working through says:

A vector x of a set V is a linear combination of vectors of S if there exists vectors in S such that x is the sum of multiples of these vectors. (S is a subset of V)

Thanks.

I'm not entirely sure since the definition of linear combination in the text I'm working through says:

A vector x of a set V is a linear combination of vectors of S if there exists vectors in S such that x is the sum of multiples of these vectors. (S is a subset of V)

Thanks.

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