Answer
Columns of A span $R^2$ if A is invertible by Theorem 8. Because the determinant is $0$, A is not invertible and the vectors do not span $R^2$
Work Step by Step
Let A be matrix $\begin{bmatrix}
-4&2\\
6&-3\\
\end{bmatrix}$
Columns of A span $R^2$ if A is invertible by Theorem 8. Because the determinant is $0$, A is not invertible and the vectors do not span $R^2$
