Given the vectors u and nu find u nu 2u 3 nu u and nu u

Given the vectors u and nu, find u + nu, 2u - 3 nu, - u, and nu - u. u = [2 0 3] and nu = [-1 5 1] u + nu = ______ 2u - 3 nu = _______ -u = _______ nu - u = ______ Determine if the vector b is in the span of a_1, a_2, and a_3 and state why or why not. a_1 = [1 0 1], a_2 = [0 1 -1], a_3 = [1 0 0] and b = [-5 17 6]

Solution

Dear Student Thank you for using Chegg !! 2 -1 u = 0 v = 5 3 1 u + v = 1 5 4 2u - 3v = 7 -15 3 -u = -2 0 -3 v - u = -3 5 -2