Please i need help in solving this questions

2 10. Let A = Daw 8 a. Find Nul A. b. Find a basis for Nul A. -1 0 1 0 11. Let A= 2 2 WNWL -1 2 3 -3 -4 -2 2 3 a. Find Nul A. b. Find Col A. c. Find Nul AT. d. Find Col AT. 12. Let A be the matrix in problem 11. a. Find a basis for Nul A and give the dimension of Nul A. b. Find a basis for Col A and give the dimension of Col A. c. Find a basis for Nul AT and give the dimension of Nul AT. d. Find a basis for Col AT and give the dimension of Col AT. 13. Suppose U = -(2): ab.edER, 20 - 36 = c and atb= lc+d a. Show that U is a subspace of R* by finding a matrix A so that U = Col A. b. Find a basis for U and give the dimension of U. 14. Mark each statement as true or false. Justify your answers. a. The null space of a matrix A is the set of solutions to Ax = 0. b. The null space of a 4 x 5 matrix is in R*. c. The column space of a 4 x 5 matrix is in R*. d. The column space of the transpose of a 4 x 5 matrix is in R*. e. The null space of the transpose of a 4 x 5 matrix is in R*. f. Let A E Maxs and b E R*. If Ax = b is consistent then Col A = R+. g. Let A E Maxs. Nul A is the kernel of the mapping x - Ax. h. Let A E M4x5. dim Nul A 2 1. 15. Let V and W be vector spaces and suppose T: V - W is a linear transformation. Show that the range of T is a subspace of W