Topic 2. Systems of linear equations and matrices. |
Systems of linear equations. Solution set of a system of linear equations. The matrix of a system of linear equations. Elementary row operations and Gauss' method. Numerical methods for the systems of linear equations. The matrix equation Ax=b. Matrix operations: addition, scalar multiplication and product of matrices. Matrix inverse. Block matrices. LU decomposition. Determinants. |
Topic 4. Matrix diagonalization. |
Eigenvalues and eigenvectors. Eigenspace. Matrix diagonalization and diagonalizable matrices. |