Answer: In Exercises 17 and 18, mark each statement True

Chapter 2, Problem 18E

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In Exercises 17 and 18, mark each statement True or False. Justify each answer. Here A is an m × n matrix.a. If is a basis for a subspace H; then each vector in H can be written in only one way as a linear combination of the vectors in .b. The dimension of Nul A is the number of variables in the equation Ax = 0.c. The dimension of the column space of A is rank A:d. If is a basis for a subspace H of , then the correspondence .e. If H is a p-dimensional subspace of , then a linearly independent set of p vectors in H is a basis for H.