Tiesinė lygtis Gauso metodu

10x+9y+8z=22
9x+10y+8z=21
8x+8y+12z=21

Meginau spręst,bet nesigavo.Kramerio metodu nebandziau, per dideli skaičiai
dekui.

[tex]\begin{pmatrix}\begin{array}{c c c |c}
  10 & 9 & 8 & 22 \\
  9 & 10 & 8 & 21 \\
  8 & 8 & 12 &21
\end{array}\end{pmatrix}\xrightarrow{\begin{array}\\9R_1-10R_2\\8R_1-10R_3\end{array}}
\begin{pmatrix}\begin{array}{c c c |c}
  10 & 9 & 8 & 22 \\
  0 & -19 & -8 & -12 \\
  0 & -8 & -56 &-34
\end{array}\end{pmatrix}\xrightarrow{-7R_2+R_3}\\
\begin{pmatrix}\begin{array}{c c c |c}
  10 & 9 & 8 & 22 \\
  0 & -19 & -8 & -12 \\
  0 & 125 & 0 &50
\end{array}\end{pmatrix}[/tex]
Gauname:
[tex]\begin{cases} 10x+9y+8z=22 \\ 19y+8z=12\\125y=50 \end{cases}\implies \begin{cases} 10x+9\cdot 0,4+8z=22 \\ 19\cdot 0,4+8z=12\\y=0,4 \end{cases}\implies \begin{cases} 10x+9\cdot 0,4+8\cdot 0,55=22 \\ z=0,55\\y=0,4 \end{cases}\\\implies \begin{cases} x=1,4 \\ y=0,4\\z=0,55\end{cases}[/tex]