What is the reason for so much big prof of Cayley-Hamilton theorem in Linear Algebra?
35155
To prove Cayley-Hamilton theorem, why can't we substitute $A$ for $\lambda$ in $p(\lambda) = \det(\lambda I - A)$?
8926
A problem regarding to Schur's lemma
21885
Why is the determinant useful when finding eigenvectors?
146984
Prove: Full Rank and a solution os linear system
7991
Compute $A^5-4A^4-7A^3+11A^2-A-10I$ for $A= \begin{pmatrix}1&4\\2&3\end{pmatrix}$ by Cayley-Hamilton
86308
Yoneda-Lemma as generalization of Cayley`s theorem?
49439
Matrix exponential via Cayley-Hamilton Theorem
67677
Big Greeks and commutation
24478
What is the name of this theorem, and are there any caveats?
136318
Where does the power $2$ come from in the Pythagorean theorem?
116524
A bad Cayley–Hamilton theorem proof
154117
Showing $[(fg)h]_n = [f(gh)_n]$ in the linear algebra $F^\infty$
70606
Show that the LU decomposition of matrices of the form $\left[\begin{smallmatrix}0& x\\0 & y\end{smallmatrix}\right]$ is not unique
58476
Why can a matrix whose kth power is I be diagonalized?
8557
Invertible Matrices are dense
153432
Question on the proof of the spectral mapping theorem for polynomials
92010
A mathematically illogical argument in the derivation of Hamilton's equation in Goldstein