True or false For each part, determine if you believe the statement is true or false, and justify your answers as appropriate. (a) If U and V are subspaces of Rn, then UUV is a subspace of R". (b) If U is a subspace of Rn and A is an mxn matrix, then the set V = {ye Rm : y = Ar for some U} is a subspace of Rm.

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Q: Explain why this statement is true: If V is a subspace of Rn, then there is a n×n matrix A such that…

A: To Proof :-  If V  is a subspace of Rn , then there is a n × n  matrix A such that V = Col A.

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Q: Section B: Determine of the following set W is subspace of V=R³: W-{(a, 1, 1): a ER).

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