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Solve System of Linear Equations

Solve System of Linear Equations
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2023-02-15 14:40
VectorFunctionCoordinate Geometry
In collections 数式処理(CAS) を学ぶ
This example demonstrates how to solve a system of linear equations using GeoGebra. Key mathematical concepts include methods for solving linear equations. The construction involves objects eq1, eq2, eq3, showcasing how to use GeoGebra commands to solve real-world problems. Suitable for students in middle school and above studying linear algebra and equation solving.

GeoGebra Commands & Parameters

  1. eq1: x + (2 * y) + (3 * z) = 60
  2. eq2: (2 * x) - (3 * y) + (5 * z) = 68
  3. eq3: (-x) + y - z = -13
  4. Solve({eq3, eq2, eq1}, {x, y, z})

AI Drawing Prompt Reference

Illustrate the intersection point of three spatial planes defined by the equations x+2y+3z=60, 2x-3y+5z=68, -x+y-z=-13, with vectors showing the normal vectors of these planes and label the coordinates of the intersection point to demonstrate solving a system of linear equations to find the common point of the three planes.
The prompt above was compiled from the original drawing commands and is for reference only.