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