List questions from cayley-hamilton

Published on 23 Sep 2016 - 18:21

683

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Find $A^{10}$, given the characteristic equation of $A$ and using the Cayley-Hamilton method for solving matrices with high powers.

Published on 28 Oct 2016 - 21:57

700

Views

Linear nilpotent functions

Published on 20 Nov 2016 - 17:47

136

Views

Determining the minimal polynomial of $B:=A²+A$

Published on 24 Nov 2016 - 21:00

268

Views

Cayley-Hamilton with A=SDS^-1

Published on 01 Dec 2016 - 23:38

521

Views

How did Frobenius prove the Cayley-Hamilton theorem for a general matrix?

Published on 09 Dec 2016 - 3:35

2.2k

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Cayley-Hamilton theorem-eigenvalues

Published on 09 Feb 2017 - 0:59

1.5k

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Cayley Hamilton Theorem Inverse Calculation

Published on 09 Feb 2017 - 7:44

70

Views

Linear Algebra- Linear Transformation

Published on 09 Feb 2017 - 10:18

84

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Calculation of the power of the difference of two matrices (Proof of Hamilton-Cayley theorem)

Published on 09 Feb 2017 - 18:05

2k

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Prove the matrix $x^2-4x+7$

Published on 21 Feb 2017 - 15:29

84

Views

Show that $(A-c)^2=0$ for a $2\times2$ matrix with repeated eigenvalues without using Cayley-Hamilton

Published on 27 Mar 2017 - 18:40

174

Views

Clarification of the details of the proof of Cayley Hamilton theorem in commutative algebra

Published on 04 Feb 2023 - 10:21

109

Views

Show that $A+B=AB+BA$ iff $\text{Tr}(A)=\text{Tr}(B)=\text{Tr}(AB)=1$

Published on 10 Feb 2023 - 17:13

235

Views

Show that $XY=0$ or $YX=0$

Published on 10 Feb 2023 - 19:35

List Question

Matrix to the power 100 by Cayley Hamilton

Find $A^{10}$, given the characteristic equation of $A$ and using the Cayley-Hamilton method for solving matrices with high powers.

Linear nilpotent functions

Determining the minimal polynomial of $B:=A²+A$

Cayley-Hamilton with A=SDS^-1

How did Frobenius prove the Cayley-Hamilton theorem for a general matrix?

Cayley-Hamilton theorem-eigenvalues

Cayley Hamilton Theorem Inverse Calculation

Linear Algebra- Linear Transformation

Calculation of the power of the difference of two matrices (Proof of Hamilton-Cayley theorem)

Prove the matrix $x^2-4x+7$

Show that $(A-c)^2=0$ for a $2\times2$ matrix with repeated eigenvalues without using Cayley-Hamilton

Clarification of the details of the proof of Cayley Hamilton theorem in commutative algebra

Show that $A+B=AB+BA$ iff $\text{Tr}(A)=\text{Tr}(B)=\text{Tr}(AB)=1$

Show that $XY=0$ or $YX=0$

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