Linear Algebra and Matrices
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MatricesDeterminants, inverses, rank, Gauss-Jordan elimination, and matrix operations.Open tool
Linear SystemsSolve linear systems using Gauss, Gauss-Jordan, or Cramer; apply the Rouché-Capelli theorem.Open tool
Parametric SystemsFind critical parameter values and classify solutions of parameter-dependent systems.Open tool
VectorsVector operations, dot and cross products, norms, angles, projections, and independence.Open tool
Vector SpacesBases, dimension, subspaces, kernel, image, and the rank-nullity theorem.Open tool
EigenvaluesEigenvalues, eigenvectors, characteristic polynomials, and diagonalization.Open tool
2D TransformationsExplore matrix transformations, vectors, and the plane in an interactive plot.Open tool
Advanced MethodsGram-Schmidt, LU, QR, SVD, pseudoinverse, and least squares.Open tool
Most calculations include step-by-step working. Exact answers are distinguished from numerical approximations.
Version 2.4 Beta. The mathematical engines are shared by the Italian and English interfaces.