\f\fLet U = span{ u1, u2, u3, u4 } and V = span{ v1, v2, v3, v4 } where u1 = (1, 3, 2, 3, -1, -2, -3, 0), u2 = (2, 3, 3, 2, -2, -1, -2, -1), u3 = (2, 4, 1, 4, -2, -2, -3, 0), us = (-1, -2, -3, -3, 1, 4, 4, 2), v1 = (3, 5, 3, 3, -3, 0, -2, 0), v2 = (1, 1, -1, 1, -1, 0, 0, 0), v3 = (1, 0, 0, 1, -1, -2, -1, -2), v4 = (1, 0, 2, 1, -1, -3, -2, -3). Let X = (uf up ug uf ) and Y= (v] v v; v*). In MATLAB, enter the matrices X and Y. You can download X and Y from the data file Lab D3. mat . In the command window, type > > rref( [Y, X] ) > > rref( [X, Y] ) Is U C V? (yeso) Is V C U? (yeso) dim (U) = dim(V) = Let U + V = { u + v | u E U and v E V } and UnV = {w | we U and we V}. dim(U + V) = (Hint: U + V = span{ U1, U2, U3, U4, V1, V2, V3, V4 }) dim(Un V) = (Hint: Read Question 43 of Exercise 3 of the textbook.) For each of the following, you are asked to find a vector v; that satisfies certain condition. Type the value i which is an integer from 1, 2, 3, 4 if such a vector exists. Type 0 if such a vector does not exists. If there are multiple answers, only write down any one of them. Find a vector v; such that span u1, u2, us, u4, vi } = span{ u1, u2, us, u4 }. = Find a vector v; such that span{ u1, u2, us, u4, vi } / span{ u1, uz, us, u4 }