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Linear algebra and analytical geometry

All lectures: All lectures on the discipline: linear algebra and analytical geometry are collected here. These fascinating lectures provide us with the opportunity to explore the deep principles and phenomena underlying our knowledge and our desire to understand the world.


1. Quaternion History
2. 1. Elements of linear algebra 1. The determinants of the second and third orders
3. 1. Elements of linear algebra 2. Kramer’s method for solving systems of algebraic equations
4. 2.1. Concept of geometric vector
5. 2.2. Vector module
6. 2.3. Basis of vector and coplanar vectors
7. 2.4. The decomposition of the vector basis
8. 2.5. Right three vectors
9. 2.6. Projection of vector onto vector
10. 2.7. Orthonormal basis
11. 2.8. Scalar product of vectors and its properties
12. 2.9. Vector product of vectors and its properties
13. 2.10. Mixed product of vectors and its properties
14. 3.1. Definition of a rectangular Cartesian coordinate system
15. 3.2. Finding the coordinates of a vector given by two points
16. 3.3. Linear vector operations
17. 3.4. The products of vectors in PDK
18. 3.5. The condition for determining the basis
19. 3.6. Polar coordinates
20. Elements of analytical geometry 1.4.1. Direct in space
21. 4.2. Plane in space
22. 4.3. Straight line on a plane
23. 4.4. Second order curves
24. 4.5. Ellipse
25. 4.6. Hyperbola
26. 4.7. Parabola
27. Examples of solving problems to the section Linear algebra and analytic geometry
28. Matrix and Gram determinant
29. LINEAR FORM