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# TeXmacs, Sage y Algebra Lineal

Summary: Una prueba de cómo subir archivos hechos en Sage + TeXmacs que traten temas de álgebra lineal

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Sea

A = 1 2 3 4 5 6 7 9 13 A = 1 2 3 4 5 6 7 9 13
(1)

calcule la inversa.

• Tomado de: Kolman 2008, página tal, ejercicio tal
• Resuelto por: Nidia

Respuesta

Definimos la matriz:

———————————————————————-

redsage] blue A = matrix(QQ,[[1, 2, 3],[4, 5, 6],[7, 9, 13]])

Y ahora calculamos la inversa:

redsage] blueA.inverse()

- 7 6 - 1 3 1 2 1 3 5 3 - 1 1 2 - 1 1 2 - 7 6 - 1 3 1 2 1 3 5 3 - 1 1 2 - 1 1 2

redsage] blueA.transpose() * A.inverse()

11 3 - 2 3 0 10 3 - 1 3 0 4 - 2 1 11 3 - 2 3 0 10 3 - 1 3 0 4 - 2 1

redsage] blueA.inverse() * A.transpose()

- 1 3 - 10 3 - 16 3 2 3 11 3 14 3 0 0 1 - 1 3 - 10 3 - 16 3 2 3 11 3 14 3 0 0 1

redsage] bluevar('a,b,c,d')

(a, b, c, d)

redsage] blueA = matrix([[a, b],[c,d]])

redsage] blueA.inverse()

d a d - b c - b a d - b c - c a d - b c a a d - b c d a d - b c - b a d - b c - c a d - b c a a d - b c

redsage] blueA.inverse() * A

a d a d - b c - b c a d - b c 0 0 a d a d - b c - b c a d - b c a d a d - b c - b c a d - b c 0 0 a d a d - b c - b c a d - b c

redsage] bluen = factorial (10^5)

SAGE Version 3.1.1, Release Date: 2008-08-17

redsage] blue print "prueba de exportacion"

prueba de exportacion

redsage] blue

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