16. Let Dj = = to pue Determine the value(s) of h so that Ty E span { v1, w}. Show all of your work. 17. Let thi = N = M QUE Determine the value(s) of h so that span ( v1, up, ug) = RY. Show all of your work. 18. Let u) = (on ty, 15 ) is a linearly dependent set. Justify your answer. 19. Determine by inspection whether the given vectors are linearly independent. Justify your answers. 20. Mark each question as true or false. Justify each answer. a, "The columns of a matrix /A are linearly independent if the equation Ar = 0 has the trivial solution. b. If u, D' E R' and w is a linearly combination of u and v. then {u, e, w} is linearly dependent. C if a set in R" is linearly dependent, then it contains more than 5 vectors. d The columns of a 4 x 5 matrix are linearly dependent. 3 -3 21. Let A = . Observe that the third column of A is the sum of the first two columns of A. Without doing any calculations, use this information to find a nontrivial solution to Ar = 0. 22. Let 12 10 -6 8 14 18 0 7 -5 Use as many columns of A as possible to create a matrix I so that Be = 0 has only the trivial solution. Give reasons for your answer. You can use the RREF command on this problem so long as you document your work