17.  Which of the following statements is FALSE?


(A) S is a basis for a vector space V if and only if S is a minimal spanning set. 


(B) V is a finite-dimensional vector space (dim(V) <∞), and W is a subspace of V. If dim(V) = dim(W), then W = V.


(C) Let V and V'be vector spaces having the same finite dimension, and let T:V→ V be a linear transformation. Then T is one-to-one if and only if range(T) = V' 


(D) Let V and V' be vector spaces of dimensions n and m, respectively. A linear transformation T : V -+ is invertible if and only if m = n.

 

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