Atividades 3:

1. Arquivo N01.py: Representa em Python as matrices como instanças da classe Matrix: [; \underline{\underline{\textbf{A}}}_0= \left(\begin{array}{cccc} 1& 1& 1& 1\\ 1&-1& 1&-1\\ 1& 1&-1&-1\\ -1& 1& 1&-1\\ \end{array}\right), \quad \underline{\underline{\textbf{A}}}_1= \left(\begin{array}{cccc} 1& 2& 4& 8\\ 1&-1& 1&-1\\ 1&-2& 4&-8\\ 1& 1& 1& 1\\ \end{array}\right), ;] [; \underline{\underline{\textbf{A}}}_2= \left(\begin{array}{cccc} 1& 1& 1& 1\\ 1&-1& 1&-1\\ 1& 2& 4& 8\\ 1& 3& 9&27\\ \end{array}\right), \quad \underline{\underline{\textbf{A}}}_3= \left(\begin{array}{cccc} 1& 1& 1& 1\\ 1& 2& 4& 8\\ 1& 3& 9&27\\ 1& 4&16&64\\ \end{array}\right), ;]
2. Arquivo N02.py: Usando um laço duplo e sobrecarga de operadores, calcule as matrices: [; \underline{\underline{\textbf{A}}}_i +\underline{\underline{\textbf{A}}}_j, ~ i,j \in \{0,1,2,3\}. ;]
3. Arquivo N03.py: Usando um laço duplo e sobrecarga de operadores, calcule os vetores: [; \underline{\underline{\textbf{A}}}_i -\underline{\underline{\textbf{A}}}_j, ~ i,j \in \{0,1,2,3\}. ;]
4. Arquivo N04.py: Calcular os produtos: [; \underline{\underline{\textbf{A}}}_i ~\underline{\underline{\textbf{A}}}_j ;] e [; \underline{\underline{\textbf{A}}}_j ~\underline{\underline{\textbf{A}}}_i, ~ i,j \in \{0,1,2,3\}. ;]
5. Arquivo N05.py: Calcular a comutador das matrices [; \underline{\underline{\textbf{A}}}_i ;] e [; \underline{\underline{\textbf{A}}}_j ;]: [; \underline{\underline{\textbf{D}}}_{ij} = \underline{\underline{\textbf{A}}}_i~ \underline{\underline{\textbf{A}}}_j - \underline{\underline{\textbf{A}}}_j~ \underline{\underline{\textbf{A}}}_i, ~ i,j \in \{0,1,2,3\}. ;]
6. Arquivo N06.py: Calcular as potências: [; \underline{\underline{\textbf{A}}}_i^j, ~ i,j \in \{0,1,2,3\}. ;]