Is there a way to prove the Cayley-Hamilton Theorem without the use of cofactors, adjoints, etc?
Like is there another way to natural prove general matrix will satisfy its own characteristic polynomial?
2026-03-25 22:05:02.1774476302
Is there a way to prove the Cayley-Hamilton Theorem without the use of cofactors, adjoints, etc?
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If done in the right way, one can simply substitute $A$ for $x$ in $\rm{det}(xI-A)=0$. Look at my question On the Cayley-Hamilton theorem