H0w do you solve this types of equation?
x+y+z=0
2x+3y+2z=-3
-x+2y-3z=-1

Question

tkhunny · Answer

Substitution
Equation Addition and Subtraction
Cramer's Rule
Matrix Inverse
Gauss-Jordan Elimination
Others?

Which way are you studying?

anonymous · Answer

I think its matrix inverse.

tkhunny · Answer

First, "X" and "x" don't normally mean the same thing.
Second, "222"?  Are you sure?
Third, I'm guessing the first "=" in teh secodn equation should be "-".
You must be WAY more carefuly.  This kind of problem can be tedious.  If you are not very careful, you WILL wander off.

So, find the inverse of this guy?
$$\left[\begin{matrix}1 & 1 & 1 \ 2 & -3 & 2 \ -1 & 2 & -3\end{matrix}\right]$$

anonymous · Answer

1, -3, -3?

tkhunny · Answer

What is that?  The major diagonal might be useful for some things, but it is not particularly related to the inverse.

Let's think about the "Elementart Row Operation".  Do you know what that is?  Can you use the matrix against itself to simplify it?