Matrix Operations

Matrix Operations Calculator solves every operation step by step — and lets you pick the method. From a quick determinant to a full singular value decomposition, you get the complete worked solution, not just the answer. Works fully offline.

SYSTEMS OF LINEAR EQUATIONS CALCULATOR

* Gaussian elimination

* Cramer's rule

* Gauss-Jordan

* Inverse matrix method

* Montante (Bareiss algorithm)

DETERMINANT CALCULATOR

* Decomposition

* Reduction to triangular form

* Montante (Bareiss algorithm)

* Sarrus' rule (3×3 only)

INVERSE MATRIX CALCULATOR

* Gaussian elimination

* Gauss-Jordan

* Algebraic complements

* Montante (Bareiss algorithm)

RANK OF A MATRIX CALCULATOR

* Elementary transformations

* Bordering minors

QR DECOMPOSITION CALCULATOR

* Gram–Schmidt

* Householder reflections

* Givens rotation

MORE OPERATIONS

* Polar decomposition calculator

* Matrix square root calculator

* Singular value decomposition (SVD) calculator

* Eigenvalues, eigenvectors & eigendecomposition (diagonalization) calculator

* Matrix minor, cofactor & adjoint calculator

* LU, Schur & Cholesky decomposition calculator

* Solving matrix equations calculator

* Raising a matrix to a power calculator

* Multiplying a matrix by a number calculator

* Transposition, addition, subtraction & multiplication calculator

FEATURES

* Step-by-step solutions for every operation

* Custom keyboard for fast data entry

* Save and edit your solutions

* Works without an internet connection

* Results as ordinary or decimal fractions

Web version: https://matrix-operations.com