Sumários

Aula 8

14 Fevereiro 2023, 13:00 Rita Sousa


Mais sobre sistemas lineares e matrizes invertíveis

Aula 8

14 Fevereiro 2023, 13:00 Rita Sousa


Resolução de sistemas lineares usando a matriz inversa; Combinações lineares e independência linear.

Determinantes

14 Fevereiro 2023, 13:00 Rita Sousa


[08] (TP)

Independência linear. Determinantes: definição baseada na expansão em cofatores. Exercícios.

1.6(4), 1.6(15), 3.1(a) pág. 10, 3.1(b) pág. 10.

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14 Fevereiro 2023, 11:00 Rita Sousa


Resolution of the exercises 7 and 10 from the CUP (week 2).
Elementary matrices and inverse matrix.

Matrice form of a linear system.
Solutions of linear systems.
Resolution of linear systems using the inverse matrix.

Resolution of exercise 1 from the CUP of week 3.

Lecture 7

14 Fevereiro 2023, 09:30 Rita Sousa


THEORY

- The matrix form of a linear system;

- Characterizing consistent independent systems in terms of the invertibility of its coefficient matrix;

- Linearly independent and linearly dependent sets of vectors.

PRACTICE

The following exercises from CUP - 3rd Week were discussed:

- Ex. 1 and 3.2 (a).

BIBLIOGRAPHY

Sections 1.6, 4.3, 1.9, 2.1 and 2.2 of Howard Anton, Chris Rorres, Linear Algebra Applications Version, 10th Edition,
2012, Bookman. ISBN: 978854070169