Tuesday, 23 August 2016

linear algebra - How to find eigenvalues of the matrix

This is a question from our end-semester exam:




How to find the eigenvalues of the given matrix:




M=[5,1,1,1,1,11,5,1,1,1,11,1,5,1,1,11,1,1,5,1,11,1,1,1,4,01,1,1,1,0,4]



I know that 4 is an eigenvalue of M with multiplicity atleast 3 since M4I has 4 identical rows.



Is there any way to find all eigenvalues of this matrix? I could find only 3 out of 6.

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