An infeasible linear system

The system of 3 equations in 2 unknowns

$\begin{aligned} 3 x_1+4.5 x_2 & =1, \\ 2 x_1+1.2 x_2 & =-3.2, \\ -0.1 x_1+8.2 x_2 & =1.5, \end{aligned}$

can be written as $A x=y$ , where $A$ is the $3 \times 2$ matrix

$A=\left(\begin{array}{cc} 3 & 4.5 \\ 2 & 1.2 \\ -0.1 & 8.2 \end{array}\right)$

and $y$ is the 3 -vector

$y=\left(\begin{array}{c} 1 \\ -3.2 \\ 1.5 \end{array}\right)$

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