Answer: In Exercises 19 and 20, V is a vector space. Mark

Chapter 4, Problem 19E

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In Exercises 19 and 20, V is a vector space. Mark each statement True or False. Justify each answer.a. The number of pivot columns of a matrix equals the dimension of its column space.b. A plane in is a two-dimensional subspace of .c. The dimension of the vector space is 4.d. If dim V = n and S is a linearly independent set in V, then S is a basis for V.e. If a set spans a finite-dimensional vector space V and if T is a set of more than p vectors in V, then T is linearly dependent.

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