Hi! Help is needed for those questions, I am stuck for those following numbers. Thank you!

(1 point) x1 5x1 + JCZ 7)C1 + 5152 Find a basis of the subspace of [R4 consisiting of all vectors of the form 4351 + ZXZ 1 point Find a basis of the subspace of R4 defined by the equation 4x 3x + 6x 8x = 0. 1 2 3 4 (1 point) Find a set of vectors {u, v} in [R4 that spans the solution set of the equations: II o xy+2z+4w x+2y+z+2w II o \f(1 point) 4 9 5 LetA = 2-9 -7 Define the linear transformation T : [R3 > R2 as T(x) = Ax. 4 a -1 I) Find the images of u = and v = under T . -2 c T(u) T(V) (1 point) If T : [R2 > [R3 is a linear transformation such that 19 17 3 17 4 -19 T = and T = . 4 -3 18 -1 then the standard matrix of T is A =