New posts in Cayley Hamilton

Let $A$ be a real $2×2$ matrix such that $A^6=I$. The total number of possibilities for the characteristic polynomial of $A$ is:

Let $A=\begin{bmatrix} 1 & 2\\ 3& 4 \end{bmatrix}$ then det$(A^3-6A^2+5A+3I)=3$

Cayley Hamilton Theorem Intuition

Does the Cayley–Hamilton theorem work in the opposite direction?

Doubt over the proof of Cayley- Hamilton heorem

Is there a simpler, more abstract proof of the Cayley-Hamilton theorem for matrices?

Why is a matrix of indeterminates diagonalizable?

Cayley-Hamilton theorem on square matrices

Is the converse of Cayley-Hamilton Theorem true?

Interpreting the Cayley-Hamilton theorem