List questions from cayley-hamilton | MathQa

How many ways are there to prove Cayley-Hamilton Theorem?

Published on 12 Jan 2025 - 22:04

Find a power of matrix by Cayley-Hamilton theorem

Published on 12 Jan 2025 - 21:57

Solving exponential matrix using Cayley–Hamilton theorem, I got stuck.

Published on 12 Jan 2025 - 22:09

Find a 4 x 4 matrix with rational entries such that its fourth power is the identity matrix multiplied by -1

Published on 12 Jan 2025 - 22:20

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:

Published on 12 Jan 2025 - 22:21

Direct sum of subspaces using Cayley-Hamilton

Published on 12 Jan 2025 - 21:54

Find the $n$-th power of a $3{\times}3$ matrix using the Cayley-Hamilton theorem.

Published on 12 Jan 2025 - 22:15

Calculate matrix by using Cayley-Hamilton theorem

Published on 12 Jan 2025 - 21:57

Can we find / express all matrices so that ${\bf P}^2 = {\bf P+I}$?

Published on 12 Jan 2025 - 22:02

About the characteristic equation of a square matrix (Cayley-Hamilton theorem)

Published on 12 Jan 2025 - 22:15