Linear Algebra

Work with mathematical functions for optimization and transformation operations

Purpose

Use this module to solve linear systems, manipulate matrices, and visualize core linear algebra concepts.

Key functions

• CalculateEigenvalues — Calculate and visualize eigenvalues and eigenvectors

• ConvertMatrixToRowEchelonForm — Convert a matrix to row echelon form (Gaussian elimination)

• ConvertSystemOfEquationsToMatrix — Convert a linear system into matrix form

• PlotVectors — Visualize 2D/3D vectors (optionally with sums)

• SolveSystemOfEquations — Solve a system of linear equations with optional plotting

• VisualizeMatrixAsLinearTransformation — Visualize a matrix as a transformation of space

Common use cases

• Solving systems of linear equations

• Gaussian elimination and pivot column inspection

• Converting between equation form and matrix form

• Visualizing transformations, eigenvectors, and vector addition