1. Elements of linear algebra 1. The determinants of the second and third orders

Lecture

Second order determinant corresponding to the element table , is calculated as follows:

The third order determinant corresponding to the table of elements , can be calculated by decomposing the first line:

1. Elements of linear algebra 1. The determinants of the second and third orders

Determinants of higher third order can also be calculated by expanding on the first line (see [1, 3, 6]).

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Quaternion History

2.1. Concept of geometric vector

2.2. Vector module

2.3. Basis of vector and coplanar vectors

2.4. The decomposition of the vector basis

2.5. Right three vectors

2.6. Projection of vector onto vector

2.7. Orthonormal basis

2.8. Scalar product of vectors and its properties

2.9. Vector product of vectors and its properties

2.10. Mixed product of vectors and its properties

3.1. Definition of a rectangular Cartesian coordinate system

3.2. Finding the coordinates of a vector given by two points

3.3. Linear vector operations

3.4. The products of vectors in PDK

3.5. The condition for determining the basis

3.6. Polar coordinates

Elements of analytical geometry 1.4.1. Direct in space

4.2. Plane in space

4.3. Straight line on a plane

4.4. Second order curves

4.5. Ellipse

4.6. Hyperbola

4.7. Parabola

Matrix and Gram determinant

LINEAR FORM