Answer
A. False, this is a condition to be a subspace, but two more are needed.
B. True span{v1,...,vp} is a subspace of R^n
C. True, theorem 12 states the null space of an m ! n matrix A is a subspace of Rn.
D. False, the column space of A is the set of all linear combinations of the columns of A.
E. False, the pivot columns of B indicate which columns of A form a basis for Col A.
Work Step by Step
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