Solved: Suppose vectors span a subspace W, and let be any
Chapter 2, Problem 27E(choose chapter or problem)
Problem 27E
Suppose vectors span a subspace W, and let be any set in W containing more than p vectors. Fill in the details of the following argument to show that
a. Explain why for each vector aj , there exists a vector cj in such that .
b. Let Explain why there is a nonzero vector u such that
c. Use B and C to show that Au = 0: This shows that the columns of A are linearly dependent.
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