1) Determine if each of the following statements is true or false. Give a brief explanation for each one of your assertations. (a) Let V and W be two finite dimensional vector spaces over R, then L(V,...

Linear ALgebra

Extracted text: 1) Determine if each of the following statements is true or false. Give a brief explanation for each one of your assertations. (a) Let V and W be two finite dimensional vector spaces over R, then L(V, W) and L(W,V) are isomorphic. (b) The nullspace of a linear transformation T:V → V is always contained in the range of T, i.e. N(T) C R(T). -