Lesson n. 6

17 Fevereiro 2022, 08:00 • Rita Sousa

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Invertible matrix: characterizations and inversion algorithm.

Elementary matrices.

Resolution of exercises: ex. 8, CUP - Week 2

Aula 6

17 Fevereiro 2022, 08:00 • Rita Sousa

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Matrizes elementares e um método para encontrar a inversa.

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16 Fevereiro 2022, 09:30 • Rita Sousa

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THEORY

- More on matrix arithmetics:

* Definition of zero matrices and properties with respect to matrix addition;

* Properties of matrix multiplication with respect to addition, scalar multiplication and transposition;

- Definition of indentity matrices and invertible matrix.

PRACTICE

The following exercises from CUP - 2nd Week were discussed:

- Ex. 1 (e), 3, 5 and 6

BIBLIOGRAPHY

Sections 1.3 and 1.4 of Howard Anton, Chris Rorres, Linear Algebra Applications Version, 10th Edition,
2012, Bookman. ISBN: 978854070169

Aula 5

16 Fevereiro 2022, 09:30 • Rita Sousa

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Propriedades algébricas de matrizes. A inversa de uma matriz.

Lesson n. 5

16 Fevereiro 2022, 08:00 • Rita Sousa

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Invertible matrix: definition and notation.

Invertible matrix of size 2x2.

Symmetric matrix.

Resolution of exercises: ex. 3, 6, 5 and 11a), CUP-Week 2

Homework: ex. 4, 11b) and 7, CUP-Week2.