I have no idea how to answer this question, I tried starting with a matrix $B$ containing $16$ different variables but the calculations took hours and I don't think I was getting anywhere anyway. This is a question from a homework for an introductory module on Matrices and Vectors.
2026-04-25 03:43:26.1777088606
True or False? There is a non-invertible matrix $B$ such that $B^4- I_4 - B^2=0.$
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Note that $$ B\cdot(B^3-B)=I$$