Let A = \left[\begin{array}{cc}
2 &1\cr
5 &2
\end{array}\right] \ \mbox{ and } \ \vec{b} = \left[\begin{array}{c}
-1\cr
-3
\end{array}\right].
Define the linear transformation T: {\mathbb R}^2 \rightarrow {\mathbb R}^2 by T(\vec{x}) = A\vec{x} .
Find a vector \vec{x} whose image under T is \vec{b} .

\vec{x} = \left[\Rule{0pt}{2.4em}{0pt}\right. \left]\Rule{0pt}{2.4em}{0pt}\right. .

Is the vector\vec{x} unique?
choose
unique
not unique

Is the vector

In order to get credit for this problem all answers must be correct.