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Determinants and Inverse Matrices

Determinants and Inverse Matrices
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2017-09-29 04:58
Coordinate GeometryMatrixTransformation
This example illustrates the concepts of determinants and inverse matrices. By constructing matrix M and its determinant det, as well as the inverse matrix M', the basic operations of matrices can be intuitively understood. Commands used include Determinant, Invert, Point, Intersect, Polygon, and ApplyMatrix. Suitable for high school mathematics education, aiding students in understanding matrix operations.

GeoGebra Commands & Parameters

  1. Determinant(M) → det
  2. Invert(M) → M'
  3. Point(yAxis) → A
  4. Point(xAxis) → C
  5. Intersect(xAxis, yAxis) → D
  6. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d_1
  7. ApplyMatrix(M, A) → A'
  8. ApplyMatrix(M, B) → B'
  9. ApplyMatrix(M, C) → C'
  10. ApplyMatrix(M, D) → D'
  11. Polygon(A', B', C', D') → q1', a', b', c', d'