Linear Algebra
Matrix operations, spectral theory, decompositions, and vector spaces — with transparent step-by-step methods.
Matrix Inverse, Determinant & Rank
Compute inverse via Gaussian elimination, determinant, rank, and nullity with full intermediate matrices shown.
Open Tool →Eigenvalues & Eigenvectors
Find eigenvalues and eigenvectors using the QR algorithm. Supports real matrices with optional normalization.
Open Tool →Matrix Decompositions
LU (with partial pivoting), QR (Householder), and SVD decompositions with residual checks.
Open Tool →Linear Systems Solver
Solve Ax = b using Gaussian elimination and Cramer's rule. Shows augmented matrix steps and solution verification.
Open Tool →Vector Space Tools
Test linear independence, find bases, compute spans, and perform Gram-Schmidt orthogonalization.
Open Tool →