- #1
Pengwuino
Gold Member
- 5,124
- 20
Im a little confused here and I have a feeling I forgot how to do matrix operations. The problem is to determine whether or not the following equation is dependant or independent.
[tex]u = (1, - 1,2),v = (3,0,1),w = (1, - 2,2)[/tex]
I thought that I setup the matrix like this and try to look for the echelon form:
[tex]\begin{array}{*{20}c}
1 & 3 & 1 \\
{ - 1} & 0 & { - 2} \\
2 & 1 & 2 \\
\end{array}[/tex]
I got it down to:
[tex]\begin{array}{*{20}c}
1 & 0 & 1 \\
0 & { - 5} & 0 \\
0 & 3 & { - 1} \\
\end{array}[/tex]
and I got a little confused, I am not sure what to do… or maybe I screwed up earlier?
[tex]u = (1, - 1,2),v = (3,0,1),w = (1, - 2,2)[/tex]
I thought that I setup the matrix like this and try to look for the echelon form:
[tex]\begin{array}{*{20}c}
1 & 3 & 1 \\
{ - 1} & 0 & { - 2} \\
2 & 1 & 2 \\
\end{array}[/tex]
I got it down to:
[tex]\begin{array}{*{20}c}
1 & 0 & 1 \\
0 & { - 5} & 0 \\
0 & 3 & { - 1} \\
\end{array}[/tex]
and I got a little confused, I am not sure what to do… or maybe I screwed up earlier?