Prove that any set of n+1 vectors in R^n is linearly dependent. and What is the largest number of linearly independent matrices one can have in M(3,2)? Prove your answer.

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1.Prove that any set of n+1 vectors in R^n is linearly dependent.

2.What is the largest number of linearly independent matrices one can have in M(3,2)? Prove your answer.

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