Let $u = \begin{bmatrix} -2 \\ 35 \\ 20 \end{bmatrix}$ and $A = \begin{bmatrix} 5 & -3 \\ -3 & 7 \\ 2 & 2 \end{bmatrix}$. Is $u$ in the plane in $\mathbb{R}^3$ spanned by the columns of $A$? Why or why not?
Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer for each matrix element.)
A. No, the reduced echelon form of the augmented matrix is $\boxed{}$, which is an inconsistent system.
B. Yes, multiplying $A$ by the vector $\boxed{}$ writes $u$ as a linear combination of the columns of $A$.
