Matrix Calculator solves every matrix 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 final answer. And it works fully offline.
Whether you're a student checking homework or just need fast, reliable computations, this calculator shows the full process for over 25 matrix operations, often with several algorithms to choose from. Results are shown as exact fractions or decimals, and you can save and edit any solution to revisit later.
SOLVE SYSTEMS OF LINEAR EQUATIONS
★ Gaussian elimination
★ Cramer's rule
★ Gauss-Jordan
★ Inverse matrix method
★ Montante (Bareiss algorithm)
DETERMINANT
★ Decomposition
★ Reduction to triangular form
★ Montante (Bareiss algorithm)
★ Sarrus' rule (3×3 only)
INVERSE MATRIX
★ Gaussian elimination
★ Gauss-Jordan
★ Algebraic complements
★ Montante (Bareiss algorithm)
RANK OF A MATRIX
★ Elementary transformations
★ Bordering minors
QR DECOMPOSITION
★ Gram–Schmidt
★ Householder reflections
★ Givens rotation
MORE OPERATIONS
★ Polar decomposition
★ Matrix square root
★ Singular value decomposition (SVD)
★ Eigenvalues, eigenvectors & eigendecomposition (diagonalization)
★ Matrix minor, cofactor & adjoint
★ LU, Schur & Cholesky decomposition
★ Solving matrix equations
★ Raising a matrix to a power
★ Multiplying a matrix by a number
★ Transposition, addition, subtraction & multiplication
FEATURES
★ Step-by-step solutions for every operation
★ Custom keyboard for fast, convenient data entry
★ Save and edit your solutions
★ Works without an internet connection
★ Results as ordinary or decimal fractions
Web version: https://matrix-operations.com