Hello, please help me with this and explain the answers to me. Please do NOT use cursive as I can't read that, and please do NOT type the answer out.

2 co 1. (5 points) Consider the matrix A = 2 4 -6 3 -6 9 (a) (2 pts) Find the dimension and a basis for N(A), the null space of A.(b) (1 pt) Find the dimension and a basis for C(A), the column space of A.\f\f2. (5 points) (a) (5 pts) Find the best line y(t) = do + ant that fits the following 4 points (t, y) = (0, -1), (1, -9), (3, -9) and (4, -21).CO 3. (5 points) Consider the vectors in R4. al = 2 ,72 = and r3 = C (a) (1 pt) Find the projection of x2 onto the span of rl.\f\f2 4. (6 points) Let A = - 3 HOW 2 - 2 (a) (1 pt) Compute the cofactors C21 and C22.(b) (1 pt) Compute det A.(c) (2 pts) Compute only the (2,1)th entry of A-, i.e., (A-!) 21.(d) (2 pts) Let b = 2 and consider the system of equations Ax = b. Use Cramer's rule to find ONLY 2.5. (4 points) (a) (2 pts) Let Q be a 5 x 5 orthogonal matrix. Let a = [ 1 1 0 1 1 ] and let y = Qx. Find llyll, the norm of y.(b) (2 pts) Let A be a nonsingular n x n matrix. Find P, the projection matrix on the column space of A