State the dimension theorem. (b) Is the followingState the dimension theorem. (b) Is the following True or False? Let F: R^4 rightarrow R^2 be a linear transformation such that ker F = {(x_1, x_2, x_3, x_4) | x_1 = x_2, x_3 = x_4}. Then the range of F is R^2. Make sure you explain your answer (i.e. give either a proof or a counterexample). Answers with no explanation will not receive any marks.Show transcribed image text