Sumários

Gaussian elimination

6 Fevereiro 2025, 11:00 • Giorgio Trentinaglia

Matrices in echelon form and reduced echelon form. Exercises 7, 8, page 4 of PUC. How to write down the general solution of a system in reduced echelon form: leading variables as functions of the free variables. Ex. 9b page 4 of PUC. The Gauss-Jordan elimination algorithm: direct phase and inverse phase. Exercise 10, p. 4, and 12 p. 5, of PUC.

Linear systems. Classification.

6 Fevereiro 2025, 08:00 • Luca Scala

Linear systems. Classification in terms of the rank of the matrix.

Aula TP2

6 Fevereiro 2025, 08:00 • Cristiana João Soares da Silva

Matriz escalonada, escada e escalonada reduzida.

Matriz aumentanda.

Variáveis líderes e variáveis livres.

Método de eliminação de Gauss.

Exemplos.

Resolução dos exercícios 4, 5, 7, 8 e 9 da semana 1 da PUC.

Linear systems. Augmented matrix.

5 Fevereiro 2025, 11:00 • Luca Scala

Linear systems. Augmented matrix. REF and RREF forms.

Linear systems

5 Fevereiro 2025, 09:30 • Giorgio Trentinaglia

Inconsistent, dependent, and independent consistent, linear systems. Examples in the plane and in three-space. Linear systems as augmented matrices. Elementary algebraic operations on linear systems versus elementary row operations on augmented matrices. Exercises 4, 5, 6, and 9(a, d), pages 3-4 of PUC.