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SqueeSpleen
 2 years ago
Two Linear Algebra exercises
SqueeSpleen
 2 years ago
Two Linear Algebra exercises

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SqueeSpleen
 2 years ago
Best ResponseYou've already chosen the best response.0Let be \[A,B \in K^{n x n}\] such that A.B=B.A and let \[E_{\lambda} = \left\{x \in K^{n} / A.x = \lambda . x \right\}\] Prove that \[E_\] is invariant

SqueeSpleen
 2 years ago
Best ResponseYou've already chosen the best response.0Lets be \[A,B \in K^{n x n}\] two diagonalizables matrix such that A.B = B.A Prove that there's \[C \in GL(n,K)\] which \[C.A.C^{1}\] and \[C.B.C^{1}\] are diagonals. (With the same C).

SqueeSpleen
 2 years ago
Best ResponseYou've already chosen the best response.0K is a generic field.

SqueeSpleen
 2 years ago
Best ResponseYou've already chosen the best response.0I guess I'll have to keep trying xD

stgreen
 2 years ago
Best ResponseYou've already chosen the best response.1you should try Linear algebra by david c lay 4th edition..chapter 5 eigen values and eigen vectors..i can give you if you want

SqueeSpleen
 2 years ago
Best ResponseYou've already chosen the best response.0I already read some theory, but reading more never hurts, so feel free to give me it to me :D
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