Suppose U and V are vector spaces. Define the function Z :

Suppose U and V are vector spaces. Define the function Z :   U→V by T (u) = 0_V for every u∈U . Then by Exercise LT.M60, Z is a linear transformation. Formulate a condition on V that is equivalent to Z being an surjective linear transformation. In other words, fill in the blank to complete the following statement (and then give a proof): Z is surjective if and only if V is . (See Exercise ILT.M60, Exercise IVLT.M60.)