Linear Combinations: Write statement in formal mathematical notation....

bullsfan23

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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.
 
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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