Matrix Operations

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. 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, 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