(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to prove that a 4x4 matrix has 2 zero eignenvalues.

2. The attempt at a solution

I have tried to obtain the characteristic equation but calculating the determinant of a relevant 4x4 is rather daunting as there aren't many zeros.

I was wondering if there is any other way to prove the statement without resorting to this brute force approach.

Thank you in advance!

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# Multiple eigenvalues - any hints would be appreciated

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