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

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

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

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 $$.