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Just this year I read that a new insight about eigenvalues/eigenvectors had just been discovered, shocking the math world that a new insight from linear algebra could be discovered.

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It actually turned out that the result was old, and had been rediscovered multiple times: https://terrytao.wordpress.com/2019/12/03/eigenvectors-from-...

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Here is a write-up by Terry Tao. This doesn't disprove the premise that linear algebra is more or less solved. Although the result was unknown and a little surprising, once formulated the proof was relatively straightforward, and does not imply any major or minor upsets in the field.

https://terrytao.wordpress.com/2019/08/13/eigenvectors-from-...

I bet it was “Eigenvectors from Eigenvalues”

* https://www.quantamagazine.org/neutrinos-lead-to-unexpected-...

* https://terrytao.wordpress.com/2019/08/13/eigenvectors-from-...

* https://arxiv.org/abs/1908.03795

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