- #1

jwqwerty

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## Homework Statement

Let W be a subspace of R^n and let A be a subset of R^n. Then A spans W if and only if <A> = W (<A> is the set of all vectors in R^n that are dependent on A). Prove it.

## Homework Equations

## The Attempt at a Solution

Ok the book goes likes this;

First, it proves that if A spans W, then <A>=W

It says that every vector in W is dependent on A, so W⊆<A>. But i do not get this part. Why is this true?