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Physicsissuef
#8
Apr9-08, 11:25 AM
P: 910
By doing row reduction to the 1-nd matrix

[tex]\begin{bmatrix}
2 & 3 & -1 & 1\\
1 & 1 & 0 & -2\\
1 & 2 & -1 & 3
\end{bmatrix}[/tex]

I get:

[tex]
\begin{bmatrix}
0 & 1 & -1 & 5\\
1 & 1 & 0 & -2\\
0 & 0 & 0 & 0
\end{bmatrix}
[/tex]

and I have the 2-nd matrix.

[tex]
\begin{bmatrix}
0 & 1 & -1 & 5\\
4 & 5 & -1 & -3
\end{bmatrix}
[/tex]

If I make [itex]-5*R_1+R_2[/itex] I will get

[tex]
\begin{bmatrix}
0 & 1 & -1 & 5\\
4 & 0 & 4 & -27
\end{bmatrix}
[/tex]

And if I make [itex]-R_1+R_2[/itex] and after that dividing [itex]R_2[/itex] by 2, I will get:

[tex]
\begin{bmatrix}
0 & 1 & -1 & 5\\
1 & 1 & 0 & -2
\end{bmatrix}
[/tex]

Do you understand me what I am talking about?