Maths: Calculators

1. Complex Numbers
   1. Complex Number Roots Calculator
2. Quaternions
   1. Quaternion Conjugate, Magnitude, Addition, Subtraction, Multiplication and Inverse Calculator
   2. Quaternion Rotation Calculator
   3. Quaternion Reflection Calculator
3. Combinatorics
   1. Combination / Multinomial Expansion Calculator
   2. Permutation Without Repeatition Calculator
   3. Permutation With Repeatition Count and Generating Functions Calculator
   4. Product of Permutations Calculator
   5. Permutations from Permutation Matrix Calculator
   6. Permutation Matrices from Permutation Calculator
   7. Permutation Order Calculator
4. Matrix, Vector and Tensor Algebra
   1. Matrix Sum and Difference Calculator
   2. Symmetric/Skew-Symmetric and Hermitian/Anti-Hermitian Matrix Calculator
   3. Matrix Multiplication / Inner Product Calculator
   4. Expression 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. Expression Matrix Trace, Determinant, Minor, Cofactor, Adjoint and Inverse Calculator
   11. Matrix Inverse Calculator
   12. Principal Minors, Trace of Principal Minors, Determinant and Polynomial of Matrix Calculator
   13. System of Linear Equations / Column Space Calculator using Gaussian Elimination/Elementary Row Operations
   14. Linear Dependency / NULL Space / Rank / Solution to Homogeneous System of Linear Equations Calculator
   15. Gram Matrix / Metric Tensor Calculator
   16. Dual of Vector / Matrix Calculator
   17. Projection / Rejection Matrix and Projected / Rejected Vectors Calculator
   18. QR Decomposition of Matrix Calculator
   19. LU Decomposition of Matrix Calculator
   20. Eigen Value / Eigen Vector Decomposition of Matrix Calculator
   21. Singular Value Decomposition of Matrix Calculator
   22. Change of Basis Calculator
   23. Basis Vector Transformation Matrix Calculator
   24. Covariant Vector Components Calculator
   25. Dot Product, Magnitude, Unit Vector, Angle, and Orthogonal Projection / Rejection of Vectors Calculator
   26. Dot/Scalar/Inner Product of Vectors in Arbitrary Basis Calculator
   27. Cross Product of Vectors Calculator
   28. Cross Product of Vectors in Arbitrary Basis Calculator
   29. Determinant Product of Vectors Calculator
5. Polynomial Expressions/Equations and Rational Expressions
   1. Quadratic Equation Roots Calculator
   2. Cubic Equation Roots Calculator
   3. Quartic Equation Roots Calculator
   4. Polynomial Roots/Factors Calculator
   5. Polynomial Sum, Difference, Product, Quotient and Remainder Calculator
6. Coordinate Systems and Coordinate Geometry
   1. Rotation Axis, Angle and Matrix Calculators
      1. Counter Clockwize/Clockwize Rotation Angle Conversion Calculator
      2. Rotation Angles from Horizontal/Vetical Axis Calculator
      3. Vector/Coordinate Point to Polar and Equatorial Angles Calculator
      4. Polar and Equatorial Angles to Vector/Coordinate Point Calculator
      5. Axis Angle to 3D Rotation Matrix and Euler/Tait-Bryan Angles Calculator
      6. 3D Rotation Matrix to Axis Angle and Euler/Tait-Bryan Angles Calculator
      7. 3D Rotation Matrix to SU(2) Matrix Calculator
      8. 3D Roto-Reflection Matrix to Rotation and Reflection Matrix Calculator
      9. Plane Vectors to Rotation Matrix Calculator
      10. Rotation Matrix to Plane Vectors Calculator
      11. Rotation Matrix to Rotate Between 2 Vectors Calculator
      12. Reflection Matrix to Axis Vector Calculator
   2. Line and Plane 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
      4. Relation Between 2 Lines/Planes Calculator
      5. Relation Between 2 Lines Calculator
   3. 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 - Point Distance/Projection Calculator
      7. Conic Section / Conic Section Intersection Calculator
      8. 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
      9. Circle Calculators
         1. Circle from Points Calculator
      10. 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
   4. Quadric Surface Calculators
      1. Quadric Surface Analysis Calculator
      2. Quadric Surface Translation/Rotation Calculator
      3. Quadric Surface - Point Distance/Projection Calculator