Avoiding the Cayley–Hamilton theorem
94406
Degree of minimum polynomial at most $n$ without Cayley-Hamilton?
58653
The opposite of Weyl's theorem on Lie algebras
33253
Find high powers of a matrix with the Cayley Hamilton theorem
118007
Not lifting your pen on the $n\times n$ grid
1495
The Frobenius Coin Problem
86826
Almost a Vandermonde matrix
31626
proving that a graph is hamiltonian (Ore's theorem)
84183
Why are properties lost in the Cayley–Dickson construction?
65700
Deriving Birkhoff's Theorem
30665
Elegant proofs that similar matrices have the same characteristic polynomial?
11329
Proving a graph has no Hamiltonian cycle
18282
Finding the minimal polynomial, the eigenvalues, and the characteristic polynomial of $T(A)=A+A^t$
127799
Eigenvalues of symmetric matrices are real without (!) complex numbers
20659
Is trace invariant under cyclic permutation with rectangular matrices?
144316
counterexample to Abel's theorem
43764
Prove $P_m X P_n$ is Hamiltonian if and only if at least one of $m,n$ is even
40222
Matrices that are not diagonal or triangular, whose eigenvalues are the diagonal elements