Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Derivation and definite integral of piecewise linear functions
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
An introduction to analytic geometry
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization and solution of systems of linear eq.
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
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Derivation and definite integral of piecewise linear functions
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
An introduction to analytic geometry
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization and solution of systems of linear eq.
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