Sumários
T7
17 Fevereiro 2025, 09:30 • 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). Resolution by Gauss elimination method. ex 32 b)
T6
11 Fevereiro 2025, 09:30 • Alexandra Symeonides
Determinant of a square matrix of type 2 × 2. Principal minors. 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 integer powers of a matrix.
T5
10 Fevereiro 2025, 09:30 • Alexandra Symeonides
Rank of a matrix: invariance under elementary row operations. Gaussian elimination method for the calculus of the rank. Square matrices: identity matrix and inverse matrix. Uniqueness of the inverse matrix. Relation between invertibility of a square matrix and rank, inverse matrix by Gauss reduction method.
P2
7 Fevereiro 2025, 14:30 • Alexandra Symeonides
ex 6 c)d) discussion of ex 7