Maths: Calculators

1. Combinatorics
   1. Product of Permutations Calculator
   2. Permutations from Permutation Matrix Calculator
   3. Permutation Matrices from Permutation Calculator
   4. Permutation Order Calculator
2. Matrix, Vector and Tensor Algebra
   1. Matrix Algebra
      1. Matrix Sum and Difference Calculator
      2. Dot Product, Magnitude, Unit Vector, Angle, and Orthogonal Projection / Rejection of Vectors Calculator
      3. Dot/Scalar/Inner Product of Vectors in Arbitrary Basis Calculator
      4. Matrix Multiplication / Inner Product Calculator
      5. Matrix Commutator / Anti-Commutator Calculator
      6. Matrix Hadamard Product / Double Dot Product Calculator
      7. Matrix Kronecker Product / Outer Product Calculator
      8. Tensor Product of Vectors Calculator
      9. Matrix Trace,Determinant, Polynomial, Minor, Cofactor, Adjoint and Inverse Calculator
      10. Matrix Inverse Calculator
      11. Principal Minors, Trace of Principal Minors, Determinant and Polynomial of Matrix Calculator
      12. System of Linear Equations / Column Space Calculator using Gaussian Elimination/Elementary Row Operations
      13. Linear Dependency / NULL Space / Rank / Solution to Homogeneous System of Linear Equations Calculator
      14. Gram Matrix / Metric Tensor Calculator
      15. Dual of Vector / Matrix Calculator
      16. Cross Product of Vectors Calculator
      17. Determinant Product of Vectors Calculator
      18. Covariant Vector Components Calculator
      19. Projection / Rejection Matrix and Projected / Rejected Vectors Calculator
      20. Basis Vector Transformation Matrix Calculator
      21. Change of Basis Calculator
      22. QR Decomposition of Matrix Calculator
      23. LU Decomposition of Matrix Calculator
      24. Eigen Value / Eigen Vector Decomposition of Matrix Calculator
      25. Singular Value Decomposition of Matrix Calculator
3. Polynomial Expressions/Equations and Rational Expressions
   1. Complex Number Roots Calculator
   2. Quadratic Equation Roots Calculator
   3. Cubic Equation Roots Calculator
   4. Quartic Equation Roots Calculator
   5. Polynomial Roots/Factors Calculator
   6. Polynomial Sum, Difference, Product, Quotient and Remainder Calculator
4. Coordinate Systems and Coordinate Geometry
   1. Distance, Ratios, Projection and Reflection Calculators
      1. Line Segment Length and Internal/External Division Ratio Calculator
      2. Distance, Projection, Reflection of a Point from/on/across a Line/Plane/Hyper-Plane Calculator
      3. Distance, Projection, Reflection of a Point from/on/across a Line Calculator
   2. Rotation Axis, Angle and Matrix Calculators
      1. Coordinate Point Rotation Angles Calculator
      2. Counter Clockwize/Clockwize Rotation Angle Conversion Calculator
      3. Rotation Angles from Horizontal/Vetical Axis Calculator
      4. Axis Angle to Rotation Matrix and Euler/Tait-Bryan Angles Calculator
      5. Rotation Matrix to Axis Angle and Euler/Tait-Bryan Angles Calculator
      6. Rotation Matrix from Orthogonal Vectors Calculator
   3. Line and Plane Calculators
      1. Relation Between 2 Lines/Planes Calculator
      2. Relation Between 2 Lines Calculator
   4. Conic Section Calculators
      1. Conic Section Analysis Calculator
      2. Conic Section Translation/Rotation Calculator
      3. Conic from Points Calculator
      4. Conic from Foci and Major/Transverse Axis Length Calculator
      5. Conic Section / Line Intersection Calculator
      6. Conic Section / Conic Section Intersection Calculator
      7. Parabola Calculators
         1. Parabola from 3 Non-Collinear Points Calculator
         2. Parabola from Focal Length and Vertex/Focus Calculator
         3. Parabola from Focus and Directrix/Base Calculator
         4. Parabola from Vertex and Directrix/Latus Rectum Calculator
         5. Parabola from Focus and Vertex Calculator
         6. Parabola from Parametric Equation Calculator
         7. Parabola Acceleration and Velocity Vector Adjustment Calculator
      8. Circle Calculators
         1. Circle from Points Calculator
      9. Ellipse and Hyperbola Calculators
         1. Rectangular Hyperbola from Points Calculator
         2. Ellipse/Hyperbola from Focus, Vertex and Eccentricity Calculator
         3. Ellipse/Hyperbola from Directrix, Adjacent Focus/Vertex and Eccentricity Calculator
   5. Quadric Surface Calculators
      1. Quadric Surface Analysis Calculator
      2. Quadric Surface Translation/Rotation Calculator