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moze li mi netko objasniti kako rijesiti sustav Ax=y koristeci LU-faktorizaciju ako je:
A={(0,0,2,2),(2,2,4,4),(1,2,1,-1),(-1,1,-1,5)}
P={(0,0,1,0),(1,0,0,0),(0,0,0,1),(0,1,0,0)}
L={(1,0,0,0),(-1/2,1,0,0),(0,0,1,0),(1/2,1/2,-3/4,1)}
U={(2,2,4,4),(0,2,1,6),(0,0,2,2),(0,0,0,-7/2)}
y=[2 8 6 -4]^T
hvala
moze li mi netko objasniti kako rijesiti sustav Ax=y koristeci LU-faktorizaciju ako je:
A={(0,0,2,2),(2,2,4,4),(1,2,1,-1),(-1,1,-1,5)}
P={(0,0,1,0),(1,0,0,0),(0,0,0,1),(0,1,0,0)}
L={(1,0,0,0),(-1/2,1,0,0),(0,0,1,0),(1/2,1/2,-3/4,1)}
U={(2,2,4,4),(0,2,1,6),(0,0,2,2),(0,0,0,-7/2)}
y=[2 8 6 -4]^T
hvala
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