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

[bullsfan23]

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,...,x_n}, generates a linear combination of the given set of vectors."

b. Prove the statement in part a.

 

[Dr.Peterson]

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,...,x_n}, generates a linear combination of the given set of vectors."

b. Prove the statement in part a.

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