Suppose that S = {u1, u2, u3,u4} where 147 94 -23 -64 16734 79 103 65 -166 29682 u1 = 16 ,u2 = 217 . u3 = 282 . u4 = 26 and v = 25362 -11 -249 220 99 315 184 113 -5 65 -15223 To avoid typing errors, you can copy and past the following sequences to your Maple worksheet to form entries of the vectors or an augmented matrix. 147, 79, 16, 11, 184 94, 103, 217, 249, 113 28, 65, 282, 220, 5 64, 166, 26, 99, 65 16734, 29682, 25362, 315, 15223 The vector v is in the span of 3 written in the form (1111 -l- 6112 +7113 + ($114 . Find a possible set of values for a, [3, 7, 6. Enter the values of a, 15', 7, 6 as a sequence in the box below [a,6m5]= I] El Text Math Drawing Plot Animation C 2D Math Times New Roman 12 By = = with ( LinearAlgebra ) : A := Matrix( [ Vector( [-147,-79, -16, -11, 184 ]), Vector( [94, 103, -217,-249, 113]), Vector( [ -28, 65,-282, 220,-5]), Vector([-64,-166, -26, 99, 651) ]) -147 94 -28 -64 here is the -79 103 65 -166 here is here is here is the -16 -217 -282 the vector Vector K, vector us the vector -11 -249 220 99 23 184 113 -5 65 here is the output of matrix A = [U, Uz Us Uq] We make a matrix A since we will convert the equation &Uit Bulatrust Sun = V to a linear system A =V . v := Vector( [16734, 29682,-25362, 315, -15223]) 16734 here is the vector v 29682 -3 here is the output of vector V -25362 315 - 15223 LinearSolve (A, v) this syntax is used to solve for in the -66 32 here is the solution 78 the live or system A =V . -97