Moderate# Columns of $A$

LINALG-NILIVO

Suppose that $\vec v_1, \vec v_2, \ldots, \vec v_n$ are a basis for $R^n$. Suppose that we form a matrix $A$ with the vectors $\vec v_i$ as columns.

Which of the following *MUST* be true about the matrix $A$?

Select **ALL** that apply.