Answer
It gives an inconsistent system of equations.
Work Step by Step
Assume that the matrix $A$ is given by
$$A=\left[\begin{array}{cc}{x_1} &{x_2} \\{x_3}& {x_4} \end{array}\right],$$
then we have the system
$$
\begin{aligned}
x_{1}+x_{3}&=1 \\
x_{2} +x_4 &=0\\
x_1+x_{3} &=0\\
x_{2} +x_4 &=1
\end{aligned}.
$$
It easy to see that the above system is not consistent since it gives $0=1$ which is a contradiction.
