Sumários

Lesson n. 7

22 Fevereiro 2022, 11:00 Rita Sousa


Elementary matrices: invertible matrices as a product of elementary matrices.

Resolution of exercises: ex. 10 and 9, CUP - Week 2.

Linear system AX=B, with A invertible.

Resolution of exercises: ex. 1, CUP - Week 3.

Homework: ex. 2, CUP - Week 3.

Vectors as column matrices. Linear combination of vectors.

Resolution of exercises: ex. 3.1, CUP - Week 3.

Lecture 7

22 Fevereiro 2022, 09:30 Rita Sousa


THEORY

- The matrix form of a linear system;

- Classification of linear systems according to the rank of the coefficient matrix;

- Invertibility criterion for matrices in terms of the classification of linear systems;

- Linear combination of vectors;

- Linear combination of vectors as a matrix product;

- Definition of linearly independent and linearly dependent set of vectors.

PRACTICE

The following exercises from CUP - Week 2 were discussed:

- Ex. 9, 10

The following exercises from CUP - Week 3 were discussed:

- Ex. 1

BIBLIOGRAPHY

Sections 1.6 and 4.3 of Howard Anton, Chris Rorres, Linear Algebra Applications Version, 10th Edition,

2012, Bookman. ISBN: 978854070169

Aula 7

22 Fevereiro 2022, 08:00 Rita Sousa


Mais sobre sistemas lineares e matrizes invertíveis.

Aula 7

22 Fevereiro 2022, 08:00 Rita Sousa


Matrizes simétricas.

Invertibilidade de uma matriz e unicidade de solução.

Independência linear.

Conclusão dos exercícios da semana 2 da PUC.

Aula 7

21 Fevereiro 2022, 16:00 Rita Sousa


Mais sobre sistemas lineares e matrizes invertíveis.