Question

Find a power of matrix by Cayley-Hamilton theorem

score 4.4k · Answer 1 · 2026-04-30 23:40:14

4.4k

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Find a power of matrix by Cayley-Hamilton theorem

Published on 30 Apr 2026 - 23:40

score 2k · Answer 2 · 2026-04-13 04:19:53

2k

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Is there a simpler, more abstract proof of the Cayley-Hamilton theorem for matrices?

Published on 13 Apr 2026 - 4:19

score 537 · Answer 3 · 2026-03-25 16:12:40

537

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Doubt over the proof of Cayley- Hamilton heorem

Published on 25 Mar 2026 - 16:12

score 84 · Answer 4 · 2026-04-26 12:12:26

84

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$C-2I = (-1)^n \cdot 7^m$

Published on 26 Apr 2026 - 12:12

score 465 · Answer 5 · 2026-03-25 16:08:39

465

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Proving invertibility of a matrix M using the Caley-Hamilton theory?

Published on 25 Mar 2026 - 16:08

score 2.5k · Answer 6 · 2026-04-13 09:43:56

2.5k

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Find constants to solve cubic polynomial matrix equation

Published on 13 Apr 2026 - 9:43

score 264 · Answer 7 · 2026-04-11 17:38:09

264

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Prove that all the powers of these two matrices have the same trace

Published on 11 Apr 2026 - 17:38

score 259 · Answer 8 · 2026-04-14 20:35:38

259

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Using Cayley-Hamilton to calculate powers of arbitrary matrices of fixed size

Published on 14 Apr 2026 - 20:35

score 270 · Answer 9 · 2026-04-13 19:14:54

270

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Use Cayley Hamilton theorem to derive the following $(sI−A)^{-1}$ where $s \in \mathbb C$ .

Published on 13 Apr 2026 - 19:14

score 380 · Answer 10 · 2026-04-15 19:47:25

380

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Find all $4 \times 4$ real matrices such that $A^3=I$

Published on 15 Apr 2026 - 19:47

score 583 · Answer 11 · 2026-04-17 05:03:21

583

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If $A$ and $B$ have characteristic polynomial $x^5-x^3$ and minimal polynomial $x^4-x^2$, then they're similar.

Published on 17 Apr 2026 - 5:03

score 164 · Answer 12 · 2026-04-13 17:29:16

164

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Cayley Hamilton use to find higher power of non diagnalizable matrix. Reduction not easy for the characteristic equation.

Published on 13 Apr 2026 - 17:29

score 810 · Answer 13 · 2026-04-17 06:14:06

810

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Determinant Trick (Unfaithful module)

Published on 17 Apr 2026 - 6:14

score 249 · Answer 14 · 2026-04-14 08:26:01

249

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Minimal polynomial substitution

Published on 14 Apr 2026 - 8:26

score 5.6k · Answer 15 · 2026-04-11 08:12:19

5.6k

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How to find $A^{100}$ by using the Cayley Hamilton theorem?

Published on 11 Apr 2026 - 8:12

List Question

Find a power of matrix by Cayley-Hamilton theorem

Is there a simpler, more abstract proof of the Cayley-Hamilton theorem for matrices?

Doubt over the proof of Cayley- Hamilton heorem

$C-2I = (-1)^n \cdot 7^m$

Proving invertibility of a matrix M using the Caley-Hamilton theory?

Find constants to solve cubic polynomial matrix equation

Prove that all the powers of these two matrices have the same trace

Using Cayley-Hamilton to calculate powers of arbitrary matrices of fixed size

Use Cayley Hamilton theorem to derive the following $(sI−A)^{-1}$ where $s \in \mathbb C$ .

Find all $4 \times 4$ real matrices such that $A^3=I$

If $A$ and $B$ have characteristic polynomial $x^5-x^3$ and minimal polynomial $x^4-x^2$, then they're similar.

Cayley Hamilton use to find higher power of non diagnalizable matrix. Reduction not easy for the characteristic equation.

Determinant Trick (Unfaithful module)

Minimal polynomial substitution

How to find $A^{100}$ by using the Cayley Hamilton theorem?

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