Linear Combinations Write the following statement in formal mathematical notation, including the sigma notation: a. Any linear combination of a finite number of linear combinations of a given set of vectors {x1,x2,...,xn}, generates a linear combination of the given set of vectors. b. Prove the statement in part a. 
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So working right to left, we have a finite set of vectors $x_i$. Then we have linear combinations of those: that is, expressions of the form ________. I'll let you fill that in; since you should be able to do that. And then we have a linear combination (the word finite is redundant since linear combinations are finite by definition) of those other linear combinations. And we are asked if that expression is in fact a linear combination of the original vectors. Does this help? The trick is to read the statement very carefully to understand what it means. 
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