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Represent Matrix Values as Surface

Represent Matrix Values as Surface
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2018-07-06 14:57
Coordinate GeometrySolid GeometryMatrix
This example demonstrates how to represent matrix values as a surface. Core mathematical concepts include matrices and 3D surfaces. The Sequence command is used to construct the surface from matrix values. Suitable for high school mathematics education or learning 3D geometry.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(k, j, M(k, j)), k, 1, Length[M]], j, 1, Length[Element[M, 1]]) → P
  2. Sequence(Sequence[Segment[(k, j, 0), (k, j, M(k, j))], k, 1, Length[M]], j, 1, Length[Element[M, 1]]) → L_1
  3. Sequence(Sequence[Surface[(((1 - u) * (1 - v)) * (k, j, M(k, j))) + (((1 - u) * v) * (k, j + 1, M(k, j + 1))) + ((u * (1 - v)) * (k + 1, j, M(k + 1, j))) + ((u * v) * (k + 1, j + 1, M(k + 1, j + 1))), u, 0, 1, v, 0, 1], k, 1, Length[M] - 1], j, 1, Length[Element[M, 1]] - 1) → S