Every linearly independent set containing 5 vectors in R5 is a basis for R5. Select one: True False Every linearly independent set containing 5 vectors in R5 is a basis for R5. Select one: True False Which of the following IS NOT a subspace of R3? Select one: a. (a) W = {[a b c] ЄR3 a+b+c=0} Ob. (b) W = {[a b c] ЄR3 axbx c = 0} c. (d) W= {[000]} d. (c) W = {[a b c] ER32a-c= 0} Which of the following IS NOT a subspace of R3? Select one: a. (a) W = {[a b c] ЄR3 a+b+c=0} Ob. (b) W = {[a b c] ЄR3 axbx c = 0} c. (d) W= {[000]} d. (c) W = {[a b c] ER32a-c= 0} Let S = {t2,t-1,1} be an ordered basis for P2(t). If the vector v in P2(t) has the coordinate vector 1123 with respect to S, then what is the vector v? Select one: O a. t²+2t Ob. t2+2t+1 Oc. t²+t+1 Od. 2+2t1 What is the value of k such that u = [1 24 2] is orthogonal to w = [4k 2k-2]? Select one: a. -1 b. 1 c. 2 d. -2 If an n x n matrix has n distinct eigenvalues, then it is not diagonalizable. Select one: True False