Step-by-Step Gaussian Elimination (JavaScript Interactive)
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① This GeoGebra example demonstrates the Gaussian elimination algorithm for solving systems of linear equations, showing each row operation step by step in an interactive JavaScript-driven environment. ② Core mathematical concepts include linear equations, augmented matrices, row echelon form, back substitution, and fraction arithmetic, emphasizing elementary row operations on matrices. ③ Construction highlights: uses the Textfield command to create input fields, the Go4Gauss object to control the algorithm, and objects X, matrix, bxMatrix to store and update matrix data, with MakeMatrix for building the matrix display, enabling stepwise visualization. ④ Suitable for high school and undergraduate linear algebra courses, as well as self-study, helping learners grasp the procedural and conceptual aspects of Gaussian elimination.
GeoGebra Commands & Parameters
Textfield(matrix) → bxMatrix
AI Drawing Prompt Reference
Create an interactive diagram for solving linear equations via Gaussian elimination. The center shows an augmented matrix with rows and columns of numbers displayed as fractions. Below or beside the matrix, place an input field for editing matrix entries. Add step-control buttons around the diagram that, when clicked, reveal each row operation sequentially, highlighting the active row or column and displaying a brief explanation of the transformation. The layout should be clean and educational, emphasizing the step-by-step reduction of the matrix.
The prompt above was compiled from the original drawing commands and is for reference only.