7 operations in one tool: dot product, cross product, angle, magnitude, unit vector, projection, scalar and vector triple products.
- Dot & Cross Product
- Scalar & Vector Triple Product
- Angle & Projection
Live & Ready to Use
Multiply any two compatible matrices up to 10×10. Every row-column dot product shown step by step with LaTeX-rendered formulas.
- Up to 10×10 matrices
- Row-by-column breakdown
- LaTeX output
Compute the determinant of any square matrix up to 6×6 using cofactor expansion — every minor and recursive step shown clearly.
- Up to 6×6 matrices
- Full cofactor expansion
- Sign pattern shown
Compute the cofactor matrix and adjoint of any square matrix from 2×2 to 6×6 — every minor determinant expanded step by step.
- Cofactor matrix
- Adjoint (transpose of cofactor)
- Clickable cell breakdown
Find the inverse of any invertible matrix up to 6×6 using Gauss-Jordan elimination — every elementary row operation listed step by step.
- Gauss-Jordan method
- Singularity detection
- Exact fraction arithmetic
Transform any matrix up to 6×7 into Row Echelon Form or Reduced Row Echelon Form — every row operation shown with exact fraction arithmetic.
- REF and RREF
- Matrix rank
- Up to 6×7
Solve any system of linear equations up to 6×6 by reducing the augmented matrix [A|b] to RREF — every pivot and row operation shown.
- Augmented matrix [A|b]
- Unique, infinite & no solution
- Exact fractions throughout
Solve systems of 2 to 5 linear equations using Cramer's Rule — every determinant D, D₁, D₂… computed step by step with exact fractions.
- 2×2 to 5×5 systems
- Full determinant working
- Clear variable labelling
Compute eigenvalues by solving det(A − λI) = 0, then find eigenvectors for each eigenvalue. Characteristic polynomial fully expanded.
- Characteristic polynomial
- All eigenvalues found
- Eigenvectors computed
Factor any square matrix into A = LU using Doolittle's method — every L and U entry derived step by step. Toggle to solve Ax = b via substitution.
- Doolittle's method
- Forward & back substitution
- Solve Ax = b option
Find 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.
Notify Me on LaunchDivide any two polynomials step by step — displays the full long division layout with quotient, remainder, and verification.
Notify Me on LaunchFully factorise a polynomial over the rationals or reals — shows each factor, its multiplicity, and the step-by-step method used.
Notify Me on LaunchSolve 2-variable LP problems visually — plots the feasible region, identifies all corner points, and highlights the optimal vertex.
- Augmented matrix [A|b]
- Unique, infinite & no solution
- Exact fractions throughout
Solve standard maximisation and minimisation LP problems — full simplex tableau shown at every pivot step with entering and leaving variables highlighted.
Notify Me on LaunchConstruct the dual LP and perform sensitivity analysis — with full interpretation of shadow prices and allowable ranges.
Notify Me on LaunchSolve separable, linear, exact, and homogeneous first-order ODEs step by step — auto-detects the equation type.
Notify Me on LaunchSolve second-order linear ODEs with constant coefficients — covers homogeneous and non-homogeneous cases using undetermined coefficients.
Notify Me on LaunchSolve IVPs using the Laplace transform method — applies standard transform tables, handles partial fractions, and shows the complete inverse transform.
Notify Me on LaunchAll tools are free — and always will be.
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