Question

Why Hamiltonian cycle decision problem in NP-complete?

score 1.1k · Answer 1 · 2026-05-10 14:50:17

1.1k

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Why Hamiltonian cycle decision problem in NP-complete?

Published on 10 May 2026 - 14:50

score 1.3k · Answer 2 · 2026-05-04 10:56:31

1.3k

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Cayley–Hamilton And Invertible Matrix

Published on 04 May 2026 - 10:56

score 929 · Answer 3 · 2026-05-04 10:57:33

929

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Given a $3\times3$ real matrix $A$ with eigenvalues $0,1,2$, find real constants $a,b,c$ such that $aI+bA+cA^2$ has eigenvalues 0,1,3

Published on 04 May 2026 - 10:57

score 550 · Answer 4 · 2026-05-04 10:57:32

550

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Vector subspace of $\mathbb{C}$ spanned by $n$ complex numbers over the field of rational numbers.

Published on 04 May 2026 - 10:57

score 106 · Answer 5 · 2026-05-04 10:57:39

106

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Can the span of $L(I,A,A^2,\cdots,A^k,..)$ have more than $n$ elements?

Published on 04 May 2026 - 10:57

score 696 · Answer 6 · 2026-05-04 10:57:35

696

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Motivation - Proving Cayley-Hamilton with Adjoints

Published on 04 May 2026 - 10:57

score 639 · Answer 7 · 2026-05-04 10:57:36

639

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Does Cayley Hamilton Theorem apply for non-diagonalizable matrices as well?

Published on 04 May 2026 - 10:57

score 156 · Answer 8 · 2026-05-04 10:57:39

156

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Inverse function on matrices with help of Cayley-Hamilton theorem?

Published on 04 May 2026 - 10:57

score 376 · Answer 9 · 2026-05-04 10:58:58

376

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Finding a cubic polynomial with Cayley-Hamilton Theorem

Published on 04 May 2026 - 10:58

score 148 · Answer 10 · 2026-05-04 10:57:38

148

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Show that $e^{tA} = \sum\limits_{k=0}^{n-1} f_k(t)A^k$

Published on 04 May 2026 - 10:57

score 233 · Answer 11 · 2026-05-04 10:57:41

233

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Cayley-Hamilton says that evaluating an endomorphism's characteristic polynomial over that endomorphism gives zero. Isn't this true by substitution?

Published on 04 May 2026 - 10:57

score 508 · Answer 12 · 2026-05-04 10:57:37

508

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Functorial proof of Cayley-Hamilton using exterior powers

Published on 04 May 2026 - 10:57

score 2.4k · Answer 13 · 2026-05-04 10:57:36

2.4k

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Does the Cayley–Hamilton theorem work in the opposite direction?

Published on 04 May 2026 - 10:57

score 207 · Answer 14 · 2026-05-04 10:57:32

207

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Questions on the proof of Cayley Hamilton Theorem

Published on 04 May 2026 - 10:57

score 4.8k · Answer 15 · 2026-05-04 10:57:34

4.8k

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Finding $A^{-3}$ using Cayley Hamilton Theorem

Published on 04 May 2026 - 10:57

List Question

Why Hamiltonian cycle decision problem in NP-complete?

Cayley–Hamilton And Invertible Matrix

Given a $3\times3$ real matrix $A$ with eigenvalues $0,1,2$, find real constants $a,b,c$ such that $aI+bA+cA^2$ has eigenvalues 0,1,3

Vector subspace of $\mathbb{C}$ spanned by $n$ complex numbers over the field of rational numbers.

Can the span of $L(I,A,A^2,\cdots,A^k,..)$ have more than $n$ elements?

Motivation - Proving Cayley-Hamilton with Adjoints

Does Cayley Hamilton Theorem apply for non-diagonalizable matrices as well?

Inverse function on matrices with help of Cayley-Hamilton theorem?

Finding a cubic polynomial with Cayley-Hamilton Theorem

Show that $e^{tA} = \sum\limits_{k=0}^{n-1} f_k(t)A^k$

Cayley-Hamilton says that evaluating an endomorphism's characteristic polynomial over that endomorphism gives zero. Isn't this true by substitution?

Functorial proof of Cayley-Hamilton using exterior powers

Does the Cayley–Hamilton theorem work in the opposite direction?

Questions on the proof of Cayley Hamilton Theorem

Finding $A^{-3}$ using Cayley Hamilton Theorem

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