7 operations in one tool: dot product, cross product, angle, magnitude, unit vector, projection, scalar and vector triple products — all with full step-by-step working.
Open CalculatorMultiply any two compatible matrices up to 10×10. Every row-column dot product is shown step by step with written English explanations and LaTeX-rendered formulas.
Open CalculatorCompute the determinant of any square matrix up to 6×6 using cofactor expansion — full breakdown of every minor, sign pattern, and recursive step shown clearly.
Open CalculatorCompute the cofactor matrix and adjoint of any square matrix from 2×2 to 6×6 — every minor determinant expanded step by step, with individually clickable cells.
Open CalculatorFind the inverse of any invertible matrix up to 6×6 using Gauss-Jordan elimination — every elementary row operation listed step by step, with automatic singularity detection.
Open CalculatorTransform any matrix up to 6×7 into Row Echelon Form or Reduced Row Echelon Form — every row operation displayed step by step with exact fraction arithmetic throughout.
Open CalculatorSolve any system of linear equations up to 6×6 by reducing the augmented matrix [A|b] to RREF — every pivot and row operation shown with exact fractional results.
Open CalculatorSolve systems of 2 to 5 linear equations using Cramer's Rule — every determinant D, D₁, D₂ … computed step by step with exact fractions and clear variable labelling.
Open CalculatorCompute eigenvalues by solving det(A − λI) = 0, then find eigenvectors for each eigenvalue. The characteristic polynomial is fully expanded and factored step by step.
Open CalculatorFactor any square matrix into A = LU using Doolittle's method — every L and U entry derived step by step. Toggle to also solve Ax = b via forward and back substitution.
Open CalculatorFind all real and complex roots of any polynomial up to degree 6 — using the rational root theorem, synthetic division, and numerical methods with full working shown.
Coming SoonDivide any two polynomials step by step — displays the full long division layout with quotient, remainder, and verification. Supports symbolic coefficients.
Coming SoonFully factorise a polynomial over the rationals or reals — shows each factor, its multiplicity, and the step-by-step grouping or substitution method used.
Coming SoonSolve 2-variable LP problems visually — plots the feasible region, identifies all corner points, and highlights the vertex giving the optimal objective value.
Coming SoonSolve standard maximisation and minimisation LP problems — full simplex tableau shown at every pivot step with entering and leaving variables clearly highlighted.
Coming SoonConstruct the dual LP and perform sensitivity analysis on objective coefficients and RHS values — with full interpretation of shadow prices and allowable ranges.
Coming SoonSolve separable, linear, exact, and homogeneous first-order ODEs step by step — auto-detects the equation type and walks through the appropriate solution method.
Coming SoonSolve second-order linear ODEs with constant coefficients — covers homogeneous and non-homogeneous cases using undetermined coefficients and variation of parameters.
Coming SoonSolve IVPs using the Laplace transform method — applies standard transform tables, handles partial fractions, and shows the complete inverse transform to reach the solution.
Coming Soon