Let V be the real vector space of all real 2x3 matrices, and let W be the real vector space of all real 4x1 column vectors. If T is a linear transformation from V onto W, what is the dimension of the subspace {v V: T(v) = 0}?
ker(v)=nullity; therefore, the range of v=6.
I know the answer is 2 but how do I show it?