Matrix Operations

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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