Álgebra Lineal I. Martes de 11:am a 1:pm en el 54-105. Jueves de 11:am a 1:pm en el 51-503.
Enlaces
Polynomial Regression:
https://arachnoid.com/sage/polynomial.html
Interpolación polinómica de Lagrange:
https://es.wikipedia.org/wiki/Interpolaci%C3%B3n_polin%C3%B3mica_de_Lagrange
Ejercicios propuestos
1.1: 8, 11, 27, 32, 41;
1.2: 4, 11, 15, 23, 34, 43, 46
1.3: 6, 13, 15, 17, 21, 23, 34, 38, 42;
1.4: 5, 9, 10, 15, 20, 24, 27;
1.5: 7, 12, 14, 19, 21, 24, 30;
1.6: 5, 11, 17, 26, 29, 30, 36, 44
2.2: 5, 9, 13, 24, 28, 33, 34;
2.2: 4, 10, 11, 21, 23;
2.3: 4, 8, 16, 24, 29, 31, 34;
2.4: 3, 7, 10, 17, 19, 22;
2.5: 2, 6, 8, 12, 16, 18, 21, 29, 37
3.1: 3, 6, 12, 16, 18, 24;
3.2: 2, 4, 8, 12, 13, 15, 19, 20, 24, 26, 28;
3.3: 3, 7, 10, 19a, 20;
3.4: 16, 19, 20, 24, 38;
4.1: 9, 14, 22, 29, 39, 43, 51;
4.2: 8, 13, 17, 21, 29, 35
4.3: 8, 11, 19, 30, 38;
5.1: 8, 16, 18, 22, 23, 24, 25, 36, 37, 38, 41
5.2: 5, 8, 10, 13, 17, 18; 5.3: 1, 3, 11, 13
6.1: 4, 9, 14, 21, 29
6.2: 6, 7, 9, 13, 19, 24, 29, 30
6.3: 4, 9, 15, 19, 22, 25, 36
6.4: 4, 8, 14, 19, 23, 30
7.1: 5, 8, 11, 15, 17, 20, 21
7.2: 2, 6, 10, 15, 18, 22, 23, 27
8.1: 9, 13, 15
8.2: 1, 4, 8, 10a, 10c, 10g, 13, 17
Matrices y Vectores:
sage: A = matrix([[1,2,3],[4,5,6]]); A
sage: B = matrix(QQ, 3, 2, [1,2,3,4,5,6]); B
Espacio Nulo:
sage: G = matrix(QQ, 2, 3, [[1,2,3],[2,4,6]])sage: G.kernel()
Espacios Vectoriales:
sage: V=G.right_kernel()sage: V
sage: V.dimension()
sage: V.coordinate_vector([1,4,-3])
sage: V.basis_matrix()
sage: V.basis()
Cálculos:
sage: H = random_matrix(QQ, 5, 5, num_bound = 10, den_bound = 4)sage: H.det() # random
sage: H.eigenvectors_right() # random
sage: D,P=H.eigenmatrix_right()sage: P*D-H*P
Solución de sistemas
sage: A=random_matrix(QQ,3) # randomsage: v=vector([2,3,1])sage: A,v # random
sage: x=A\v; x # random
sage: A*x # random
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