Sumários

lecture 7

13 Março 2023, 12:00 • Alexandra Symeonides

Systems of linear equations (SLEs): firsts definitions and classification. Matricial form

and augmented matrix. Elementary operations and equivalent systems. Classification of SLEs (number of unknowns vs rank of the matrix of the system and the

augmented matrix).

practical lecture *

9 Março 2023, 14:30 • Alexandra Symeonides

This practical class will be recovered before the end of the semester.

lecture 6

7 Março 2023, 10:30 • Alexandra Symeonides

Recursive definition of the determinant by Laplace's rule. Determinant of the transpose and of triangular matrices. Relation between determinant and invertibility. Determinant of the product, the inverse and of integer powers of matrices.

lecture 5

6 Março 2023, 12:00 • Alexandra Symeonides

Relation between invertibility of a square matrix and rank, inverse matrix by Gauss reduction

method. Properties regarding powers, inverse and transpose of a square matrix.

Determinant of a square matrix of type 2 x 2. Principal minors.

Recursive definition of the determinant by Laplace’s rule.

practical lecture 3

2 Março 2023, 14:30 • Alexandra Symeonides

Exercises 10 l), 13 a)b)c), 14, 16 g), 17 a)b), 18 a), 19 a)c)