List questions from characteristic-polynomial

Published on 18 Jun 2023 - 15:49

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Let $a$ be a sequence where $a_0 = 21$, $a_1 = 35$, and $a_{n+2} = 4a_{n+1} − 4a_n + n^2$ for $n ≥ 2$. Compute $a_{2006} \pmod {100}$

Published on 20 Jun 2023 - 15:44

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If two matrices have the same characteristic polynomial then do they have the same determinant?

Published on 24 Jun 2023 - 21:54

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Proof of Cayley-Hamilton theorem over any field $\Bbb K$

Published on 25 Mar 2026 - 14:33

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Let $A \in M_n(\mathbb R)$ such that $A^2+A+5I_n = 0$. Find the characteristic polynomial of $A$

Published on 25 Mar 2026 - 14:36

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Error in the book Graph Theory: Calculate this determinant/characteristic polynomial

Published on 05 Jul 2023 - 21:41

90

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Classification of all similar $3\times 3$ matrices over $\mathbb{R}$

Published on 07 Jul 2023 - 16:07

43

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Why are the kernel of the irreducible factors of the minimal and charateristic polynomial equal?

Published on 12 Jul 2023 - 13:04

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Characteristic polynomial and determinant of block matrices

Published on 13 Jul 2023 - 11:55

99

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Given Ker(T) and Ker(T-2I), is T diagonalizable?

Published on 14 Jul 2023 - 9:03

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Calculating the characteristic polynomial of a block tridiagonal Toeplitz Symmetric matrix

Published on 25 Mar 2026 - 10:21

106

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Characteristic polynomial for the composition of a linear transformation with itself

Published on 21 Mar 2026 - 21:56

87

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Find the characteristic equation of $A$

Published on 21 Mar 2026 - 23:51

57

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Reading off module properties from the companion matrix

Published on 25 Mar 2026 - 22:23

129

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How to find the characteristic polynomial of the given matrix?

Published on 22 Mar 2026 - 8:04

List Question

Dimension of image(T) and characteristic polynomial

Let $a$ be a sequence where $a_0 = 21$, $a_1 = 35$, and $a_{n+2} = 4a_{n+1} − 4a_n + n^2$ for $n ≥ 2$. Compute $a_{2006} \pmod {100}$

If two matrices have the same characteristic polynomial then do they have the same determinant?

Proof of Cayley-Hamilton theorem over any field $\Bbb K$

Let $A \in M_n(\mathbb R)$ such that $A^2+A+5I_n = 0$. Find the characteristic polynomial of $A$

Error in the book Graph Theory: Calculate this determinant/characteristic polynomial

Classification of all similar $3\times 3$ matrices over $\mathbb{R}$

Why are the kernel of the irreducible factors of the minimal and charateristic polynomial equal?

Characteristic polynomial and determinant of block matrices

Given Ker(T) and Ker(T-2I), is T diagonalizable?

Calculating the characteristic polynomial of a block tridiagonal Toeplitz Symmetric matrix

Characteristic polynomial for the composition of a linear transformation with itself

Find the characteristic equation of $A$

Reading off module properties from the companion matrix

How to find the characteristic polynomial of the given matrix?

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