Metoda Gaussa- Dolittlea

[refluks]

Witam, Mam macierz
\(\displaystyle{ \left[\begin{array}{cccc}3&2&-3&-2\\2&2&-4&-3\\-2&4&-1&-3\\2&3&3&-1\end{array}\right]}\)

I policzylem macierze \(\displaystyle{ L U}\)

\(\displaystyle{ L}\)

\(\displaystyle{ \left[\begin{array}{cccc}1&0&0&0\\ \frac{2}{3} &1&0&0\\-5&21&1&0\\ \frac{-2}{3} & \frac{13}{2} & \frac{7}{13} &1\end{array}\right]}\)

\(\displaystyle{ U}\)

\(\displaystyle{ \left[\begin{array}{cccc}3&2&-3&-2\\0& \frac{2}{3} &-2& \frac{-5}{3} \\0&0&26&22\\0&0&0& \frac{-87}{26} \end{array}\right]}\)

Co tu moze byc bledem?

[SlotaWoj]

W iloczynie \(\displaystyle{ L\mbox{·}U}\):

• \(\displaystyle{ \begin{bmatrix}
  3&2&-3&-2 \\
  2&2&-4&-3 \\
  {\red{-15}}&4&-1&-3 \\
  {\red{-2}}&3&3&-1
  \end{bmatrix}}\)

to jest inne niż powinno.