List questions from characteristic-polynomial

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List Question

How do I find the characteristic polynomial and eigenvalues?

Prove that $A$ is similar to $B$

Solving for the closed form of recurrence relations using characteristic polynomial

Can we deduce the characteristic polynomial for this matrix?

Monic polynomial and companion matrix

Derivative of coefficients of characteristic polynomial

Finding characteristic polynomial and eigenvalues of a linear transformation

Calculating determinant using eigenvalues (real and complex)

$c_{n-1}$-th factor of polynomial and the trace of a matrix using induction

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

Given the characteristic equation, how to find the determinant of a matrix

Characteristic polynomial of a matrix — algorithm

Drawing conclusions from a characteristic polynomial

Kernel of characteristic polynomial of linear transformation

Calculate matrix by using Cayley-Hamilton theorem

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