Question

Calculation of the $3\times 3$ exponent matrix via Cayley-Hamilton theorem.

score 110 · Answer 1 · 2026-04-11 00:33:24

110

Views

Calculation of the $3\times 3$ exponent matrix via Cayley-Hamilton theorem.

Published on 11 Apr 2026 - 0:33

score 80 · Answer 2 · 2026-04-15 18:40:05

80

Views

Showing there exists an $n\times n$ matrix that solves a given polynomial iff $n$ is even

Published on 15 Apr 2026 - 18:40

score 129 · Answer 3 · 2026-04-10 15:25:19

129

Views

Cayley-Hamilton proof using linear discrete-time systems

Published on 10 Apr 2026 - 15:25

score 90 · Answer 4 · 2026-04-14 22:15:35

90

Views

$A$ is a square matrix of order $2$ with real entries and ${\rm Tr}(A)+|A|=2$. Show that $|A^2+|A|\cdot A+{\rm Tr}(A)I_2|\geq 4$

Published on 14 Apr 2026 - 22:15

score 769 · Answer 5 · 2026-04-13 22:36:15

769

Views

Let $A$ and $B$ be two square matrices of order $2\times 2$, where $\det(A)=1$ and $\det(B)=2$ then value of $\det(A+\alpha B)-\det(\alpha A+B)$

Published on 13 Apr 2026 - 22:36

score 59 · Answer 6 · 2026-03-25 14:34:36

59

Views

An $n\times n$ matrix, $n\ge 2$ with characteristic polynomial $x^{n-2}(x^2-1)$

Published on 25 Mar 2026 - 14:34

score 109 · Answer 7 · 2026-03-25 14:33:40

109

Views

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

Published on 25 Mar 2026 - 14:33

score 48 · Answer 8 · 2026-03-25 14:36:40

48

Views

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

score 153 · Answer 9 · 2026-04-12 11:21:17

153

Views

How does the Cayley–Hamilton theorem give me a formula for eigenvectors

Published on 12 Apr 2026 - 11:21

score 83 · Answer 10 · 2026-04-09 21:31:30

83

Views

Given a $3\times 3$ $\operatorname{adj} A$, find $A$

Published on 09 Apr 2026 - 21:31

score 39 · Answer 11 · 2026-03-25 14:36:46

39

Views

How to understand a situation where one can use Nakayama's lemma even when the situation is not Tailor-made.

Published on 25 Mar 2026 - 14:36

score 120 · Answer 12 · 2026-04-16 08:47:28

120

Views

Is this Corollary a historical or modern product?

Published on 16 Apr 2026 - 8:47

score 614 · Answer 13 · 2026-05-10 12:33:07

614

Views

Proving the continuation of the Cayley-Hamilton theorem from Schur's triangularization theorem

Published on 10 May 2026 - 12:33

score 1.3k · Answer 14 · 2026-04-09 16:54:17

1.3k

Views

Inverse of $A$ as a linear combination of $A$

Published on 09 Apr 2026 - 16:54

score 6.8k · Answer 15 · 2026-03-30 11:00:36

6.8k

Views

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

Published on 30 Mar 2026 - 11:00

List Question

Calculation of the $3\times 3$ exponent matrix via Cayley-Hamilton theorem.

Showing there exists an $n\times n$ matrix that solves a given polynomial iff $n$ is even

Cayley-Hamilton proof using linear discrete-time systems

$A$ is a square matrix of order $2$ with real entries and ${\rm Tr}(A)+|A|=2$. Show that $|A^2+|A|\cdot A+{\rm Tr}(A)I_2|\geq 4$

Let $A$ and $B$ be two square matrices of order $2\times 2$, where $\det(A)=1$ and $\det(B)=2$ then value of $\det(A+\alpha B)-\det(\alpha A+B)$

An $n\times n$ matrix, $n\ge 2$ with characteristic polynomial $x^{n-2}(x^2-1)$

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 $A$

How does the Cayley–Hamilton theorem give me a formula for eigenvectors

Given a $3\times 3$ $\operatorname{adj} A$, find $A$

How to understand a situation where one can use Nakayama's lemma even when the situation is not Tailor-made.

Is this Corollary a historical or modern product?

Proving the continuation of the Cayley-Hamilton theorem from Schur's triangularization theorem

Inverse of $A$ as a linear combination of $A$

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

Trending Questions

Popular # Hahtags

Popular Questions