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{numerical-linear-algebra} questions involving algorithms for linear algebra computations.
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How to show inconsistency of a linear system of equations? [closed]
Consider the (real) linear system of equations $A\mathbf{x}=\mathbf{c}$ of size $N$ as
$$
\begin{bmatrix} a_{N}-a_{2}& a_{2}& 0 &\dots& 0 & -a_{N} \\-a_{1} & a_{1}-a_{3}&a_{3}& 0 & \dots&0\\
0 & -a_{2 …