Recent content by Alwar
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Undergrad How to Find the Generalized Eigenvector in a Matrix ODE?
Hi Vela, Thanks for your effort. Can you upload the solution of how you got the sixth column of eigenvector. I hope I will be able to grasp what you have done.- Alwar
- Post #9
- Forum: Linear and Abstract Algebra
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Undergrad How to Find the Generalized Eigenvector in a Matrix ODE?
For λ = -sqrt(α^2+β^2), solving the characteristic equation in the matlab, the fourth column vector in M is displayed as solution. However if we manually do, we can get four equations as shown in the attached figure. And the first equation repeats three times meaning infinite solutions. The...- Alwar
- Post #6
- Forum: Linear and Abstract Algebra
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Undergrad How to Find the Generalized Eigenvector in a Matrix ODE?
Thanks Haborix. Inspecific, I cannot find the first and sixth column of eigenvectors in matrix M. But when I find the characteristic equation (A-λI)X = 0 for each of the eigenvalue, both these vectors satisfy the solution upon back substitution. But I cannot find them directly. Or the authors...- Alwar
- Post #5
- Forum: Linear and Abstract Algebra
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Undergrad How to Find the Generalized Eigenvector in a Matrix ODE?
This is the part of a manuscript published in the journal. I think they have mentioned eigenvalues wrongly as k^2. When I calculated its only k. I hope the Jordan matrix is correct. Thanks.- Alwar
- Post #4
- Forum: Linear and Abstract Algebra
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Undergrad How to Find the Generalized Eigenvector in a Matrix ODE?
Hi, I have a set of ODE's represented in matrix format as shown in the attached file. The matrix A has algebraic multiplicity equal to 3 and geometric multiplicity 2. I am trying to find the generalized eigenvector by algorithm (A-λI)w=v, where w is the generalized eigenvector and v is the...- Alwar
- Thread
- Eigenvector generalized Linear algebra Ode system
- Replies: 10
- Forum: Linear and Abstract Algebra