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Matrix and Linear Algebra Calculators

47 free matrix calculators for determinants, inverses, rank, eigenvalues, systems, vector spaces, decompositions, and simulators.

Browse matrix and linear algebra tools by topic. This directory separates common matrix operations from determinant methods, eigenvalue problems, vector spaces, decompositions, special matrix checks, and visual simulators.

Featured Matrix Tools Start here

Determinant Calculator Inverse Matrix Calculator Matrix Rank Calculator Eigenvalue Calculator Linear System Solver Linear Transformation Simulator

Browse Matrix Calculators by Topic

Matrix Basics and Operations Determinant, Inverse and Systems Eigenvalues and Matrix Polynomials Vector Spaces and Bases Matrix Decompositions Special Matrices and Properties Linear Transformation Simulators

Matrix Basics and Operations

9 tools

Add, subtract, multiply, scale, transpose, trace, exponentiate, and raise matrices to powers.

Matrix Addition Calculator Matrix Subtraction Calculator Matrix Multiplication Calculator Scalar Matrix Multiplication Calculator Matrix Transpose Calculator Matrix Trace Calculator Matrix Power Calculator Matrix Exponential Calculator Matrix Logarithm Calculator

Determinant, Inverse and Systems

5 tools

Compute determinant, rank, adjugate, inverse matrices, and solve linear systems with step-by-step methods.

Determinant Calculator Matrix Rank Calculator Adjugate Matrix Calculator Inverse Matrix Calculator Linear System Solver

Eigenvalues and Matrix Polynomials

5 tools

Find eigenvalues, characteristic polynomials, minimal polynomials, eigenvectors, and dominant eigenvalue estimates.

Eigenvalue Calculator Matrix Characteristic Polynomial Calculator Matrix Minimal Polynomial Calculator Eigenvector Simulator Power Iteration Simulator

Vector Spaces and Bases

9 tools

Analyze null space, column space, row space, left null space, bases, projections, and orthogonalization.

Matrix Null Space Calculator Matrix Column Space Calculator Matrix Row Space Calculator Left Null Space Calculator Vector Basis Calculator Linear Dependence Checker Projection Matrix Calculator Gram-Schmidt Orthogonalization Calculator Orthonormal Basis Generator

Matrix Decompositions

7 tools

Factor matrices with LU, QR, Cholesky, Schur, SVD, Jordan form, and pseudoinverse methods.

LU Decomposition Calculator QR Decomposition Calculator Cholesky Decomposition Calculator Schur Decomposition Calculator SVD Decomposition Calculator Jordan Canonical Form Calculator Moore-Penrose Pseudoinverse Calculator

Special Matrices and Properties

9 tools

Check Hermitian, skew-Hermitian, unitary, diagonal, nilpotent, idempotent, involutory, similar, and congruent matrices.

Hermitian Matrix Checker Skew-Hermitian Matrix Checker Unitary Matrix Checker Diagonal Matrix Checker Nilpotent Matrix Checker Idempotent Matrix Checker Involutory Matrix Checker Similar Matrix Checker Congruent Matrix Checker

Linear Transformation Simulators

5 tools

Explore how matrices transform vectors, basis directions, eigenvector lines, and iterative eigenvalue estimates.

Linear Transformation Simulator Eigenvector Simulator Power Iteration Simulator Matrix Rotation Simulator Matrix Shear Simulator

What Can You Do With These Matrix Tools?

These calculators help with matrix arithmetic, determinants, inverse matrices, rank, linear systems, eigenvalues, vector spaces, decompositions, projections, orthogonal bases, and matrix property checks. The simulator pages add visual support for linear transformations, eigenvectors, and iterative eigenvalue estimation.

Frequently Asked Questions

What matrix calculators are available here?▼

This page includes matrix operation, determinant, inverse, rank, eigenvalue, linear system, vector space, decomposition, special matrix, and matrix simulator tools.

Which matrix tool should I start with?▼

For a basic matrix problem, start with determinant, inverse, rank, matrix multiplication, or linear system tools. For linear algebra topics, use eigenvalue, null space, column space, or decomposition calculators.

Do these linear algebra tools show steps?▼

Many matrix calculators include formulas, row operations, substitutions, or intermediate results so you can understand the method behind the final answer.

Are the matrix tools free?▼

Yes. The matrix calculators and linear algebra simulators are free browser-based tools for learning, checking homework, and exploring matrix concepts.

Algebra Geometry Trigonometry Matrices Functions Number Theory Base Converter Electronics Statistics Life & Finance Simulators

Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.

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