show your work,otherwise there will be no points.
only do 6,8,10,14,16,18,22
Determine if u is in null a. In Exercises 11 and 12, give integers p and q such that Null A is a subspace of Rp and Col A is a subspace of R. For A as in Exercise 11, find a nonzero vector in Null A and a nonzero vector in Col A. For A as in Exercise 12, find a nonzero vector in Null A and a nonzero vector in Col A. Determine which sets in Exercises 15-20 are bases for R2 or R3. Justify each answer. A subset H of R" is a subspace if the zero vector is in H If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A. Given vectors V1-vp in r, the set of all linear combinations of these vectors is a subspace of R. Let H be a subspace of R". If x is in H, and y is in R". then x + y is in H. The column space of a matrix A is the set of solutions of Ax = b.