# The matrix

Algebra Level 5

$\left\{\begin{matrix} ax+by+cz=d\\ ex+fy+gz=h\\ jx+ky+lz=m \end{matrix}\right.$

Let's say there is a system of three equations with variables $$x, y, z$$ as above.

What is the minimum number of coefficients (denoted by letters $$a,b,c,e,f,g,j,k,l$$) that must be zero such that the system cannot be solved using Cramer's rule?

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