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
Matrizes simétricas.
Invertibilidade de uma matriz e unicidade de solução.
Independência linear.
Conclusão dos exercícios da semana 2 da PUC.