Answer
Columns of A span $R^2$ if A is invertible by Theorem 8. Because the determinant is $5$, A is invertible
Work Step by Step
Let A be matrix $\begin{bmatrix}
5&10\\
-2&-3\\
\end{bmatrix}$
Columns of A span $R^2$ if A is invertible by Theorem 8. Because the determinant is $5$, A is invertible