Answer: In Exercises 29 and 30, V is a nonzero
Chapter 4, Problem 30E(choose chapter or problem)
In Exercises 29 and 30, V is a nonzero finite-dimensional vector space, and the vectors listed belong to V. Mark each statement True or False. Justify each answer. (These questions are more difficult than those in Exercises 19 and 20.)a. If there exists a linearly dependent set {v1, . . . , vp} in V, then dim V p..b. If every set of p elements in V fails to span V, then dim V p.c. If p and dim V = p, then every set of p – 1 nonzero vectors is linearly independent.
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