3. 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 R", then UUV is a subspace of R". (b) If U is a subspace of R" and A is an m×n matrix, then the set V = {ÿ¤Rm : ÿ= A☛ for some ☎ €U} is a subspace of Rm.

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