Consider the basis B -3 3 . -8.fox 6 5 Suppose that [x] B = 0 and [y] B = Find the coordinates of a and y with respect to the standard basis e1, e2, e3: and y =Find the rank and the dimension of the null space of the matrix 1 3 1 -=1 1 A = 1 3 l] 5 0 1 3 1 3 2 rank A = dim Nu] A = 5;; rank A + dim Nul A : choose V A linear transformation T : R* - R whose matrix is 13 -1.5 -15 3 -1.5 -19 + k is onto if and only if k #