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SqueeSpleen

  • 3 years ago

Two Linear Algebra exercises

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  1. SqueeSpleen
    • 3 years ago
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    Let 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

  2. SqueeSpleen
    • 3 years ago
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    \[E_{\lambda}\] *

  3. SqueeSpleen
    • 3 years ago
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    Lets 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).

  4. SqueeSpleen
    • 3 years ago
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    K is a generic field.

  5. SqueeSpleen
    • 3 years ago
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    I guess I'll have to keep trying xD

  6. stgreen
    • 3 years ago
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    you should try Linear algebra by david c lay 4th edition..chapter 5 eigen values and eigen vectors..i can give you if you want

  7. SqueeSpleen
    • 3 years ago
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    I already read some theory, but reading more never hurts, so feel free to give me it to me :D

  8. stgreen
    • 3 years ago
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    lol ok wait

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