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Mulkek for Math

This is Mulkek page which is all about Mathematics and in doing so better understanding different ways to make it interesting.

The website contains videos on Math that can help you with high school and college courses in algebra, geometry, precalculus, and calculus. The best thing to understand math is to remember to say:

Love math to make your life easier & fun!

Scroll down to watch our free math videos!

Linear Algebra videos:

  1. A unique solution, No solution, or Infinitely many solutions | Ax=b
  2. Determine which values of k will give, one Solution, no Solution, or infinitely Many Solutions
  3. Find the values of k which give, one Solution, no Solution, or infinitely Many Solutions
  4. Types of Matrices with Examples
  5. Determine if Equations are Linear or Nonlinear
  6. In RREF or not & RREF steps
  7. RREF steps & Example
  8. Find rref of a matrix
  9. A sample examples about RREF
  10. Reduced Row Echelon Form for a matrix | RREF
  11. RREF for a matrix
  12. Gauss Jordan elimination (RREF) for Ax=b, a unique solution
  13. Gauss Jordan elimination (RREF) for Ax=b, no solution
  14. Gauss Jordan elimination (RREF) for Ax=b, infinitely many solutions
  15. Confirm the infinitely many solutions for Ax=b
  16. Ax=b Vs Ax=0, consistent & inconsistent, trivial & nontrivial
  17. Gauss Jordan (RREF) elimination for Ax=0, a trivial solution
  18. Gauss Jordan (RREF) elimination for Ax=0, infinitely many solutions
  19. Gauss Jordan elimination (RREF) Vs Gaussian elimination (REF)
  20. Gaussian Elimination & Row Echelon Form | REF
  21. Gauss Jordan Elimination & Reduced Row Echelon Form | RREF
  22. Solving two linear systems Ax=b
  23. Solving three linear systems Ax=b
  24. Scalar Multiplication of Matrices
  25. Adding and Subtracting Matrices
  26. Multiplying Matrices
  27. How Multiply Matrices? Find all values of k, if any, that satisfy the equation
  28. How to multiply matrices in Python (Spyder IDE)
  29. Powers of a matrix
  30. Negative powers of a matrix
  31. Example of row equivalence & elementary row operations
  32. Connection between row equivalence & the inverse
  33. Inverse of a 2×2 Matrix
  34. Inverse of a 3×3 Matrix
  35. Inverse of a 4×4 Matrix
  36. Inverse of a Matrix
  37. Find the inverse of a Matrix and solve a Linear System Ax=b
  38. Solving two Linear Systems using the inverse
  39. Using Matrix inverse to solve two Linear Systems
  40. Matrix inverse and its properties
  41. Matrix Transpose and its Properties
  42. Matrix inverse & transpose examples

Coordinate Geometry – 1D, 2D, and 3D videos:

  1. Plotting Points on a Number Line (1D)
  2. Distance formula in 1D
  3. Distance between two points in 1D
  4. Plotting Points on the Coordinate Plane (2D)
  5. Which Quadrant or Axis? Points on the Coordinate Plane (2D)

Pythagorean Theorem – Visual Proofs videos:

  1. Pythagorean Formula
  2. Pythagoras Theorem (a² + b² = c²) – Visual Proof 1
  3. Pythagoras Theorem (a² + b² = c²) – Visual Proof 2
  4. Example of Pythagoras Theorem, (a^2+b^2=c^2)

Algebra – Visual Proofs videos:

  1. (a-b)^2 – Geometrical Explanation and Derivation
  2. (a+b)^2 – Geometrical Explanation and Derivation
  3. a^2-b^2 – Geometrical Explanation and Derivation
  4. a^2-b^2 – Algebraic proof

Triangles videos:

  1. Types of Triangles
  2. Triangles
  3. Sum of angles of a triangle is 180 degrees – Proof
  4. Find the missing angle of a triangle
  5. Sum of exterior angles of a Triangle – proof
  6. Exterior Angle Theorem of a Triangle – explained with examples
  7. Two Exterior Angles at a Vertex – Here’s Why They’re Equal
  8. Why are two exterior angles equal at vertex? Quick proof!
  9. Pythagorean Formula
  10. Pythagoras Theorem (a² + b² = c²) – Visual Proof 1
  11. Pythagoras Theorem (a² + b² = c²) – Visual Proof 2
  12. Example of Pythagoras Theorem, (a^2+b^2=c^2)

Polygons videos:

  1. Types of polygons
  2. Is this a Polygon
  3. Polygons
  4. Sum of interior angles of a Polygon – proof
  5. Find Missing Interior Angles of a Polygon
  6. Why Regular and Irregular Polygons have different angle formulas?
  7. Sum of exterior angles of Regular Polygons – proof
  8. Find missing interior & exterior angles of Regular Polygons
  9. Sum of exterior angles of Convex Polygons – proof
  10. Sum of exterior angles of Concave Polygons – example
  11. Interior and Exterior angles of a Polygon
  12. Exterior angles of a polygon
  13. Interior and Exterior angles of a concave polygon

Circle Videos:

  1. Transform a Circle to a Rectangle: Why the Area of a Circle is πr²
  2. What is π (pi)? An Easy Explanation of π

Trigonometry Basics video:

  1. Simple trick to remember common Trigonometric values (Sin, Cos, Tan)

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