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Eigenvalues and Eigenvectors for 3x3 Matrix

Eigenvalues and Eigenvectors for 3x3 Matrix
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2016-03-14 09:01
VectorCoordinate GeometryMatrix
This example demonstrates finding eigenvalues and eigenvectors from a 3x3 input matrix A. Key mathematical concepts include matrices, eigenvalues, and eigenvectors. GeoGebra commands used include Identity, ReducedRowEchelonForm, Transpose, Line, and Point. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Identity(3) → I
  2. Identity(2) → I2
  3. ReducedRowEchelonForm(M1) → m1
  4. ReducedRowEchelonForm(M2) → m2
  5. ReducedRowEchelonForm(M3) → m3
  6. Transpose({u1, u2, u3}) → v
  7. LaTeX(A, true, true) → text4
  8. LaTeX(ϕ, true, true) → text6
  9. LaTeX(v, true, true) → text8
  10. Line(C, E) → a
  11. Point(a) → F
  12. Point(a) → G
  13. Point(a) → H
  14. Point(a) → J
  15. Point(a) → K
  16. Point(a) → L
  17. Point(a) → N
  18. Point(a) → O