particular solution is X = (0,0,0,0,0,0,0)
general solution is:
X(x1,x2,x3,x4,x5,x6,x7)
x1 = C1
x2 = C1+C2-C3
x3 = C3
x4 = C2+C3
x5 = -C1
x6 = -C2
x7 = -C3
C1, C2, C3 € R
i used a program i made some monthes ago to get it:
http://petitcalvino.free.fr/projects/Projet%20Maths/Executable.jar
Launch
Menu Matrice
-> Nouvelle matrice
-> utiliser la m閠hode matricielle
-> nombre de lignes : 4
--> nombre de colonnes : 7
--> method: Manuellement
--> fill the matrix (NB : B column is "0,0,0,0" since solution is "0")
--> select "solution particuli鑢e" or "solution generale" for the particular and general solutions of the system
don't mind trying it if it can help ;)
Message was edited by:
calvino_ind
Message was edited by:
calvino_ind
source is available at
http://petitcalvino.free.fr/projects/Projet%20Maths/sources/
if i remember correctly, you have to call jordan() on a matrix, and then to call getVecteursKerA(), in class Mtx.java ; but it's prolly a bit more complicated.
there are lots of comments, but maybe it will be helpless for you since it s in french
if you want more info about this prog, just add me with calvino_ind@hotmail.com so i can give you some more help ;)
Message was edited by:
calvino_ind