MATH 3510 Chapter Notes - Chapter 15: Linear Independence, John Wiley & Sons, Linear Combination
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It follows that s is linearly dependent since the equation is satisfied by which are not all zero. The proof in the case where some vector other than combination of the other vectors in s is similar. is expressible as a linear. Concept review: trivial solution, linearly independent set, linearly dependent set, wronskian. Exercise set 4. 3: explain why the following are linearly dependent sets of vectors. (solve this problem by inspection. ) and and in in in and in (a) (b) (c) (d) None: which of the following sets of vectors in are linearly dependent? (a) (b) (c) (d, assume that. In each part, determine whether the three vectors lie in a plane. (a) (b) Answer: (a) they do not lie in a plane. (b) they do lie in a plane: assume that. , and are vectors in that have their initial points at the origin.
