Question

Describe the Jordan form of a linear operator $T:\mathbb{R}^7\to\mathbb{R}^7$ with characteristic polynomial $p_T(t)=(t-1)^2(t-2)^4(t-3)$

score 106 · Answer 1 · 2022-10-18 18:11:02

106

Views

Describe the Jordan form of a linear operator $T:\mathbb{R}^7\to\mathbb{R}^7$ with characteristic polynomial $p_T(t)=(t-1)^2(t-2)^4(t-3)$

Published on 18 Oct 2022 - 18:11

score 37 · Answer 2 · 2022-10-23 15:36:53

37

Views

Asymptotic polynomial growth of a matrix product

Published on 23 Oct 2022 - 15:36

score 35 · Answer 3 · 2026-03-27 23:35:30

35

Views

Let $T:\mathbb{R}^6\to \mathbb{R}^6$ be a linear operator with characteristic polynomial $p_T(t)=(t-a)^3(t-b)^3$ minimal polynomial $m_T=(t-a)^2(t-b)$

Published on 27 Mar 2026 - 23:35

score 113 · Answer 4 · 2026-03-27 23:31:52

113

Views

Number of similarity classes of matrices $A$ in $M_6(\mathbb{R})$ satisfying $(A-2I)^3=0.$

Published on 27 Mar 2026 - 23:31

score 32 · Answer 5 · 2026-03-21 19:24:02

32

Views

Is $N_T \subseteq Im(T^l)$?

Published on 21 Mar 2026 - 19:24

score 70 · Answer 6 · 2026-03-21 21:30:05

70

Views

Possible or not? Jordan chain does not span the full generalised eigenspace

Published on 21 Mar 2026 - 21:30

score 181 · Answer 7 · 2026-03-29 19:15:53

181

Views

Jordan Blocks of Complex Congujate Eigenvalues of a Real Operator

Published on 29 Mar 2026 - 19:15

score 225 · Answer 8 · 2026-03-26 04:50:45

225

Views

Companion matrix must have one Jordan block per eigenvalue: recurrence sequence perspective

Published on 26 Mar 2026 - 4:50

score 28 · Answer 9 · 2026-03-27 07:30:44

28

Views

Can $\lambda_i$'s root subspace be divided into several eigenspaces direct sum?

Published on 27 Mar 2026 - 7:30

score 27 · Answer 10 · 2022-11-05 13:29:38

27

Views

Projection, Jordan form and a new basis to $R^{n}$

Published on 05 Nov 2022 - 13:29

score 46 · Answer 11 · 2026-03-30 20:46:12

46

Views

Similarity of Jordan cannonical forms

Published on 30 Mar 2026 - 20:46

score 58 · Answer 12 · 2022-11-08 16:08:01

58

Views

Let $A ∈ \mathbb{R}^{n \times n}$ have eigenvalues $λ_1, \ldots , λ_k$.

Published on 08 Nov 2022 - 16:08

score 105 · Answer 13 · 2022-11-12 05:51:26

105

Views

Generalized Modal Matrix of a square matrix

Published on 12 Nov 2022 - 5:51

score 78 · Answer 14 · 2022-11-14 06:30:50

78

Views

Trigonalizing a matrix problem.

Published on 14 Nov 2022 - 6:30

score 111 · Answer 15 · 2022-11-14 19:39:33

111

Views

Finding a matrix $P$ such that $P^{-1}AP=J$ in the Jordan canonical form.

Published on 14 Nov 2022 - 19:39

List Question

Describe the Jordan form of a linear operator $T:\mathbb{R}^7\to\mathbb{R}^7$ with characteristic polynomial $p_T(t)=(t-1)^2(t-2)^4(t-3)$

Asymptotic polynomial growth of a matrix product

Let $T:\mathbb{R}^6\to \mathbb{R}^6$ be a linear operator with characteristic polynomial $p_T(t)=(t-a)^3(t-b)^3$ minimal polynomial $m_T=(t-a)^2(t-b)$

Number of similarity classes of matrices $A$ in $M_6(\mathbb{R})$ satisfying $(A-2I)^3=0.$

Is $N_T \subseteq Im(T^l)$?

Possible or not? Jordan chain does not span the full generalised eigenspace

Jordan Blocks of Complex Congujate Eigenvalues of a Real Operator

Companion matrix must have one Jordan block per eigenvalue: recurrence sequence perspective

Can $\lambda_i$'s root subspace be divided into several eigenspaces direct sum?

Projection, Jordan form and a new basis to $R^{n}$

Similarity of Jordan cannonical forms

Let $A ∈ \mathbb{R}^{n \times n}$ have eigenvalues $λ_1, \ldots , λ_k$.

Generalized Modal Matrix of a square matrix

Trigonalizing a matrix problem.

Finding a matrix $P$ such that $P^{-1}AP=J$ in the Jordan canonical form.

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