Eigenvalues, Eigenvectors & Matrix Powers [IB Math AI HL]

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Revision Village - Voted #1 IB Math Resource! New Curriculum 2021-2027.

This video covers Eigenvalues, Eigenvectors & finding Powers of Matrices. Part of the IB Mathematics Applications & Interpretation HL course in Topic 1, Number & Algebra.

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  3. IB Mathematics
  4. Applications & Interpretation
  5. Eigenvectors and Eigenvalues
  6. Powers of Matrices
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Комментарии
Автор

I believe that the GDC cannot be used to solve eigenvalues and eigenvectors in examinations as those functions are disabled in press-to-test.

justinkim
Автор

How do you use the Casio Fx-CG50 to find the eigenvalues

namanmodi
Автор

when calculating eigenvectors by hand you get the -1, but a different eigen vector in the power formula for M will yield you a different result no? so I don't understand why you said that the proportion between the top and bottom vector values in P matters. When you multiply p with the diagonal matrix and you have different vector values then you will get a different result, what am I missing? How can the solutions for the eigenvectors be infinite for a given power?

jozkobranko