Showing Linear Dependence In Exercises 5356, show that the set is linearly dependent by

Chapter 4, Problem 55

(choose chapter or problem)

In Exercises 53–56, show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set.S = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}