BLOCK II |
DETERMINANTS:
Definition of determinants and cofactors.
Calculation by elementary operations.
Applications of determinants.
VECTOR SPACES:
Definition and examples of vector space.
Coordinates. Vector subspaces.
Linear maps and their associated subspaces.
The matrix of a linear map and change os basis.
Similar matrices.
DIAGONALIZATION:
Eigenvectors and eigenvalues.
Eigenspace of an eigenvalue.
Characteristic polynomial.
Diagonalizable matrices and applications.
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LABORATORY PRACTICES |
- Systems of linear equations.
- Matrix calculations.
- Geometric applications in the plane and in space.
- Matrix diagonalization.
- Inner product spaces.
- Classification of quadratic forms. |