Determinant Calculator - Calculate the determinant of any square matrix with detailed step-by-step cofactor expansion, matrix properties analysis, and visual solutions.

Eigenvalue and Eigenvector Calculator - Calculate eigenvalues and eigenvectors of 2x2 and 3x3 matrices with detailed step-by-step solutions, characteristic polynomial derivation, interactive visualization, and matrix property analysis.

Gram-Schmidt Calculator - Orthonormalize a set of linearly independent vectors using the Gram-Schmidt process. Get step-by-step projections, orthogonal and orthonormal bases, verification of orthogonality, and an interactive vector visualization. New

Matrix Calculator - Calculate matrix operations with step-by-step solutions: addition, subtraction, multiplication, inverse, transpose, and determinant. Visual matrix display with detailed explanations.

Matrix LU Decomposition Calculator - Calculate LU decomposition of any square matrix with partial pivoting. Get lower triangular (L), upper triangular (U), and permutation (P) matrices with step-by-step Gaussian elimination and verification. New

Matrix Rank Calculator - Calculate the rank of any matrix using Gaussian elimination (row echelon form). Get step-by-step row reduction, pivot analysis, column space and null space dimensions, and visual heatmap. Supports matrices up to 10×10. New

Matrix Trace Calculator - Calculate the trace of a square matrix (sum of diagonal elements), verify its equality with the sum of eigenvalues, explore trace properties, and visualize the diagonal with an interactive heatmap. Supports matrices up to 10×10. New

Partial Fraction Decomposition Calculator - Decompose rational functions into partial fractions with detailed step-by-step solutions, coefficient analysis, and visual decomposition breakdown.

Singular Value Decomposition (SVD) Calculator - Calculate the Singular Value Decomposition (SVD) of any matrix. Decompose A = UΣVᵀ with step-by-step solutions, interactive 3D visualization, rank analysis, condition number, and applications in data compression and dimensionality reduction. New

Vector Calculator - Free online vector calculator with step-by-step solutions. Calculate dot product, cross product, magnitude, unit vector, angle between vectors, projection, and more with interactive 3D visualization.

Vector Projection Calculator - Calculate the vector projection and scalar projection of one vector onto another. Supports 2D and 3D vectors with step-by-step formulas, interactive diagram, and orthogonal decomposition. New