1. [2 points] For each of the following sets, write "Yes" if the set is a subspace of R" for the given value of n, and write "No" if it is not a subspace of R". You will receive .5 points for each correct answer, and receive -.5 points for each incorrect answer. You will not receive a negative total score on this question. A line in R2 that does not pass through the origin, n = 2. The set x, y, z, te R and 2x - 3t = 2y - 52 1, n = 4. x - y The set rty X, y ER ,n = 3 2y The set y x, y, z ( R and z =1+x ) ,n=3.2. [3 points] For each of the following statements write \"True\" if the statement is true, and write \"False\" if the statement is false. You will receive .5 points for each correct answer, and receive -.5 points for each incorrect answer. You will not receive a negative total score on this question. For every pair of 2 x 2 matrices A and B we have det(A B) = detA det B. For every n x n matrix A we have det A = det (AT)- If an n x n matrix A is invertible then NulA = {0}- If A is a 3 x 3 matrix such that two of its columns are equalT then we have det A = [1. The dimension of NulA is always equal to the number of pivot columns of A- The columns of an invertible n x 71. matrix form a basis of R\