Lectures:
Complex numers
Solution of systems of linear equations by elimination
Algebra aof arithmetic vectors and matrices
Inverse matrices
Vekctor space
Vector spaces of functions
Derivation and definite integral of piecewise linear functions
Linear mapping
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
An introduction to analytic geometry
Exercises:
Arihmetics of complex numbers
Solution of systems of linear equations
Practicing algebra of arithmetic vectors and matrices
Evaluation of inverse matrix
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of functional spaces
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
Computational examples from analytic geometry
Computer labs:
Linear algebra in MATLAB.
Complex numers
Solution of systems of linear equations by elimination
Algebra aof arithmetic vectors and matrices
Inverse matrices
Vekctor space
Vector spaces of functions
Derivation and definite integral of piecewise linear functions
Linear mapping
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
An introduction to analytic geometry
Exercises:
Arihmetics of complex numbers
Solution of systems of linear equations
Practicing algebra of arithmetic vectors and matrices
Evaluation of inverse matrix
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of functional spaces
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
Computational examples from analytic geometry
Computer labs:
Linear algebra in MATLAB.