List questions from cayley-hamilton

Published on 17 Mar 2019 - 18:19

48

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Find the characteristic and minimal polynom of the following transformation

Published on 30 Mar 2019 - 12:50

1.2k

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Cayley Hamilton Theorem Intuition

Published on 06 Apr 2019 - 17:41

1.3k

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Prove that $A^n = nA - (n-1)I$

Published on 25 Apr 2019 - 13:32

26

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Dimension of $M_{n \times n}$ over $\mathbb{R}$

Published on 08 May 2019 - 22:51

235

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Writing matrices as power series

Published on 12 May 2019 - 9:36

196

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Do we really need the eigenvectors of $A$ to find $e^{tA}$?

Published on 12 May 2019 - 20:51

228

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Proofs Using Upper Triangular Form Over $\mathbb{C}$

Published on 29 May 2019 - 19:29

46

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Given a matricial expression, the eigenvalues are restricted to the polynomial solutions?

Published on 23 Jun 2019 - 21:17

274

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Let $A=\begin{bmatrix} 1 & 2\\ 3& 4 \end{bmatrix}$ then det$(A^3-6A^2+5A+3I)=3$

Published on 26 Jun 2019 - 10:21

47

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Does every polynomial divide its (Galois-theoretic) norm?

Published on 08 Jul 2019 - 3:54

142

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Finding $n$-th power of a $2 \times 2$ matrix with $2$ identical eigenvalues

Published on 24 Aug 2019 - 12:11

555

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Range of Controllability is A-Invariant

Published on 25 Sep 2019 - 22:35

3.8k

Views

Matrix Exponential using the Cayley-Hamilton theorem

Published on 24 Mar 2014 - 12:50

251

Views

Endomorphism with rank $r$ annihilates degree $r+1$ polynomial

Published on 12 Jun 2014 - 7:26

List Question

Exponential of a Jordan Block using Cayley-Hamilton Theorem

Find the characteristic and minimal polynom of the following transformation

Cayley Hamilton Theorem Intuition

Prove that $A^n = nA - (n-1)I$

Dimension of $M_{n \times n}$ over $\mathbb{R}$

Writing matrices as power series

Do we really need the eigenvectors of $A$ to find $e^{tA}$?

Proofs Using Upper Triangular Form Over $\mathbb{C}$

Given a matricial expression, the eigenvalues are restricted to the polynomial solutions?

Let $A=\begin{bmatrix} 1 & 2\\ 3& 4 \end{bmatrix}$ then det$(A^3-6A^2+5A+3I)=3$

Does every polynomial divide its (Galois-theoretic) norm?

Finding $n$-th power of a $2 \times 2$ matrix with $2$ identical eigenvalues

Range of Controllability is A-Invariant

Matrix Exponential using the Cayley-Hamilton theorem

Endomorphism with rank $r$ annihilates degree $r+1$ polynomial

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