List questions from characteristic-polynomial

Published on 01 Dec 2021 - 23:53

108

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If $N^n=0$ but $N^{n-1}\neq 0$, then there is no $n\times n$ matrix $A$ such that $A^2=N$

Published on 10 Dec 2021 - 9:42

204

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Finding eigenvalues of a square matrix

Published on 12 Dec 2021 - 10:53

54

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When is the proper time to use row operation to find the determinant

Published on 15 Dec 2021 - 4:19

296

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Irreducible factors of minimal and characteristic polynomial of a endomorphism over a finite dimensional $\mathbb{F}$-vector space

Published on 26 Dec 2021 - 15:00

76

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What is the characteristic equation of $a_{n+2}+2a_{n}=0$?

Published on 29 Dec 2021 - 12:42

207

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Matrix exponential via Cayley-Hamilton

Published on 26 Mar 2026 - 1:00

66

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Can you find a matrix by its minimal and characteristic polynomials?

Published on 03 Jan 2022 - 9:29

28

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How to check local stability of eigenvalues generated by a quintic characteristic polynomial?

Published on 11 Jan 2022 - 13:57

255

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What is the difference between $\det(zI - A)$ and $\det(A - zI)$?

Published on 11 Jan 2022 - 21:17

41

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Prove $n\times n$ matrix with uniform random elements is diagonizable?

Published on 18 Jan 2022 - 0:33

104

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how to solve this third degree characteristic polynomial?

Published on 18 Jan 2022 - 11:34

51

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Proof of a polynomial matrix equation

Published on 22 Jan 2022 - 18:33

101

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Let $ A \in M_n(\mathbb{R}) $ be a matrix which satisfies $ A^2 + A + 5I_n = 0 $. Find the characteristic polynomial $ p_A $

Published on 26 Jan 2022 - 16:09

231

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Assume that $A$ has the minimal polynomial as $(x-1)(x-2)$ and c.p. as $(x-2)^2(x-1)$

Published on 27 Jan 2022 - 10:04

List Question

Prove dimension of span of identity matrix and matrices

If $N^n=0$ but $N^{n-1}\neq 0$, then there is no $n\times n$ matrix $A$ such that $A^2=N$

Finding eigenvalues of a square matrix

When is the proper time to use row operation to find the determinant

Irreducible factors of minimal and characteristic polynomial of a endomorphism over a finite dimensional $\mathbb{F}$-vector space

What is the characteristic equation of $a_{n+2}+2a_{n}=0$?

Matrix exponential via Cayley-Hamilton

Can you find a matrix by its minimal and characteristic polynomials?

How to check local stability of eigenvalues generated by a quintic characteristic polynomial?

What is the difference between $\det(zI - A)$ and $\det(A - zI)$?

Prove $n\times n$ matrix with uniform random elements is diagonizable?

how to solve this third degree characteristic polynomial?

Proof of a polynomial matrix equation

Let $ A \in M_n(\mathbb{R}) $ be a matrix which satisfies $ A^2 + A + 5I_n = 0 $. Find the characteristic polynomial $ p_A $

Assume that $A$ has the minimal polynomial as $(x-1)(x-2)$ and c.p. as $(x-2)^2(x-1)$

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