I read that an equation of the form Ax=0 has a solution iff the matrix A has non-trivial Kernel, which makes sense as if A had trivial kernel then x would be trivial as well, meaning that only the x={0} solution would exist, right?(adsbygoogle = window.adsbygoogle || []).push({});

Secondly, I read that in order for A to have a non-trivial kernel, we need detA=0. Why is this so?

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# Kernels and determinants of a matrix

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