Recent content by Tachyon314
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Graduate Jordan Normal Form & Generalized Eigenvectors
I never thought of taking the approach of letting AP=PJ & work from that. I can now see the results of using generalized eigenvectors & why they are useful. Thanks!- Tachyon314
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Jordan Normal Form & Generalized Eigenvectors
I've been having some trouble with conceptually understanding the idea of a generalized eigenvector. If we have a linear operator A and want to diagonalize we get it's eigenvalues and eigenvectors but if the algebraic multiplicity of one of the eigenvalues is greater than the geometric...- Tachyon314
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- Eigenvectors Form generalized Normal
- Replies: 2
- Forum: Linear and Abstract Algebra
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Undergrad Probability of Shared Birthdays in a Room of People Born in January
Most people have heard about the birthday problem if 23 people are placed in a room what is the probability that 2 people share the same birthday. Well, we can make 253 pairs and divide it by 364. 253/364= 69% Anyway, this isn't my question. This is: Consider the following, 15 people...- Tachyon314
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- Replies: 1
- Forum: Set Theory, Logic, Probability, Statistics