2.1 Complex numbers: Definition
2.2 Addition and Multiplication of complex numbers
2.3 Complex e-function
2.4 Other complex functions
2.5 Some formal definitions in linear Algebra
2.6 Vectors in N-dimensional space
2.7 Matrices
2.7.1 Vectors as special matrices
2.7.2 Matrix multiplication commutative?
2.8 Identity matrix as multiplicative unity
2.9 Square matrices and determinants
2.9.1 Examples for the calculation rules for determinants
2.10 Regular matrix, inverse matrix
2.10.1 Examples: Using cofactors for matrix inversion
2.10.2 Example: Using Gauß-Jordan algorithm for matrix inversion
2.11 Classification of N x N Matrices:
2.12 Systems of Linear Equations
2.13 Eigenvalues and Eigenvectors
2.13.1 Example: 2D mirroring
2.13.2 Example: 2x2 and 4x4 matrix
2.13.3 Calculation of Eigenvectors
2.14 Scalar product
2.14.1 Examples: Scalar product
2.15 Vector product
2.15.1 Mathematical description of a plane wave
2.16 Hermite and unitary matrices with complex components