A set of detailed matrix calculation tools that allows you to do the following operations:

  • Addition, subtraction, division and product.
  • Rank of a matrix
  • Power of a matrix
  • Determinant calculation
  • Cofactors
  • Solving linear systems
  • Vectors and eigenvalues
  • Generation of random matrices

Complete Matrix Operations Suite

Choose from our comprehensive collection of matrix calculators, each providing detailed step-by-step solutions and mathematical explanations.

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Basic Matrix Operations

Addition & Subtraction Add or subtract matrices of the same dimensions with detailed step-by-step calculations Matrix Multiplication Multiply matrices and vectors with comprehensive explanations of the dot product process Matrix Transpose Calculate the transpose of any matrix by interchanging rows and columns Matrix Division Perform matrix division using inverse multiplication methods
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Advanced Calculations

Determinant Calculator Calculate determinants using cofactor expansion, row reduction, and other efficient methods Matrix Inverse Find the inverse of square matrices using Gauss-Jordan elimination with detailed steps Matrix Rank Determine the rank of matrices using row reduction and echelon form techniques Matrix Power Calculate matrix powers and exponentiation using efficient algorithms Cofactor Matrix Compute cofactor and adjugate matrices with step-by-step minor calculations
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Matrix Factorization

LU Factorization Decompose matrices into lower and upper triangular factors using various pivoting strategies QR Decomposition Factor matrices into orthogonal Q and upper triangular R components using Gram-Schmidt Cholesky Decomposition Decompose positive definite matrices efficiently for numerical computations Gram-Schmidt Process Orthogonalize vectors and create orthonormal bases with detailed calculations
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Linear Algebra & Systems

Eigenvalues & Eigenvectors Find eigenvalues and eigenvectors using characteristic polynomial and various numerical methods RREF Calculator Reduce matrices to row echelon form and reduced row echelon form with step-by-step operations Gaussian Elimination Solve linear systems using forward elimination and back substitution methods Random Matrix Generator Generate random matrices with customizable dimensions and value ranges for testing

Why Choose Our Matrix Calculator?

Discover the features and applications that make our calculator the preferred choice for linear algebra computations.

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Educational Excellence

Our matrix calculator is designed with education in mind, providing detailed step-by-step solutions that help students understand the underlying mathematical concepts.

  • Complete solution steps for every calculation
  • Mathematical explanations and formulas
  • Visual representation of matrix operations
  • Error checking and validation
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Powerful Features

Access a comprehensive suite of matrix operations with advanced algorithms and numerical stability considerations.

  • Support for matrices of any reasonable size
  • Decimal, fraction, and complex number input
  • Multiple solution methods when applicable
  • High precision numerical computations
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Real-World Applications

Matrix calculations are fundamental to numerous fields and have countless practical applications in modern science and technology.

  • Engineering: Structural analysis, control systems, signal processing
  • Computer Science: Machine learning, computer graphics, data analysis
  • Physics: Quantum mechanics, electromagnetic field calculations
  • Economics: Input-output models, optimization problems
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How to Use

Getting started with our matrix calculator is simple and straightforward. Follow these easy steps to solve your linear algebra problems.

  1. Select Operation: Choose the matrix operation you need from our comprehensive list
  2. Input Matrix: Enter your matrix values using our intuitive interface
  3. Calculate: Click the calculate button to get instant results
  4. Review Steps: Study the detailed solution process and verify your understanding