Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices and LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Bilinear and quadratic forms
Scalar product
Determinants
Eigenvalues and eigenvectors
Linear algebra applications
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Orthogonalization process
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices and LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Bilinear and quadratic forms
Scalar product
Determinants
Eigenvalues and eigenvectors
Linear algebra applications
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Orthogonalization process
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors