True/False: Any set that is a basis for a vector space is also a linearly independent
set.

True/False: Any linearly independent set that is a subset of is a basis for
.

True/False: If the is equal to some vector space , then is a basis for .

True/False: The pivot columns of form a basis for .

True/False: Suppose the matrix below is row equivalent to the matrices and
below. Which of the following statements is true?

forms a basis for . forms a basis for . forms a basis for .