Che 7110 Homework #5, due XXXXXXXXXXFriday, our makeup class) New 1. i) Prove that the vectors x = (1, 2, 3), y = (0, 1, −1) and z = (5, 2, −1) are linearly independent. ii) Prove that the vectors x =...

Che 7110 Homework #5, due 9-22-2017 (Friday, our makeup class) New 1. i) Prove that the vectors x = (1, 2, 3), y = (0, 1, −1) and z = (5, 2, −1) are linearly independent. ii) Prove that the vectors x = (1, 2, 3), y = (0, 1, −1) and z = (1, 3, 2) are linearly dependent. iii) Prove that the functions f(t) = 1, g(t) = t and h(t) = t 2 , are linearly independent. iv) Prove that the functions f(t) = t + t 2 , g(t) = t and h(t) = t 2 , are linearly dependent