Sumários

Lecture 8

23 Fevereiro 2022, 09:30 Rita Sousa


THEORY

- Linearly independent and linearly dependent sets of vectors: recalling the concepts;

- Definition of determinant for square matrices of order 1 and 2;

- Definition of minor and cofactor of an entry of a square matrix;

- Definition of cofactor expansion along an arbitrary row or column;

- Laplace's definition for the determinant of an arbitrary square matrix;

- Computing determinants of square matrices of order 3: the Sarrus rule.

PRACTICE

The following exercises from CUP - Week 3 were discussed:

- Ex. 3, 5, 6 e 7

BIBLIOGRAPHY

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

Lesson n. 8

23 Fevereiro 2022, 08:00 Rita Sousa


Lineraly independent and linearly dependent vectors.

Resolution of exercises: ex. 3.2, CUP - Week 3

Determinants: definition for size 1x1 and 2x2. Arrow technique for size 3x3. Some properties.

Resolution of exercises: ex. 5 and 6, CUP - Week 3.

Aula 8

22 Fevereiro 2022, 16:00 Rita Sousa


Determinantes por expansão em cofatores.

Exercícios 3.1, 3.2

Aula 8

22 Fevereiro 2022, 14:30 Rita Sousa


Determinantes por expansão em cofatores.

Exercícios 3.1, 3.2

Aula 8

22 Fevereiro 2022, 14:30 Rita Sousa


Independência linear.