1. ## Factorization Method

Question : Solve the equations
2x + 3y+z=9
x+2y+3z=6
3x+y+2z=8
by factorization method

2. I don't know of the method you are speaking of but you can solve it as follows

$
\left[ \begin{array}{c}
x\\
y\\
z\end{array}\right]=\left[ \begin{array}{ccc}
2 & 3 & 1 \\
1 & 2 & 3 \\
3 & 1 & 2 \end{array} \right]^{-1} \left[ \begin{array}{c}
9\\
6\\
8\end{array}\right]
$

3. ## Thanks but what should i do next ????

Originally Posted by pickslides
I don't know of the method you are speaking of but you can solve it as follows

$
\left[ \begin{array}{c}
x\\
y\\
z\end{array}\right]=\left[ \begin{array}{ccc}
2 & 3 & 1 \\
1 & 2 & 3 \\
3 & 1 & 2 \end{array} \right]^{-1} \left[ \begin{array}{c}
9\\
6\\
8\end{array}\right]
$

Thanks Pickslides but i dont know what should i do next with that the method u posted does it have a method which i could sees on how to solve that problem ...

4. To finish with the method posted you need to find this

$
\left[ \begin{array}{ccc}
2 & 3 & 1 \\
1 & 2 & 3 \\
3 & 1 & 2 \end{array} \right]^{-1}
$

which is the inverse of a $3\times 3$ matrix, read this
Cramer's rule - Wikipedia, the free encyclopedia

the result needs to be mulitplied by

$\left[ \begin{array}{c}
9\\
6\\
8\end{array}\right]$

do you know how to multiply matrices?

Read this, Matrix multiplication - Wikipedia, the free encyclopedia

or try this Matrix Multiplying Calculator

Good luck!

5. ## Thanks mate........

Originally Posted by pickslides
To finish with the method posted you need to find this

$
\left[ \begin{array}{ccc}
2 & 3 & 1 \\
1 & 2 & 3 \\
3 & 1 & 2 \end{array} \right]^{-1}
$

which is the inverse of a $3\times 3$ matrix, read this
Cramer's rule - Wikipedia, the free encyclopedia

the result needs to be mulitplied by

$\left[ \begin{array}{c}
9\\
6\\
8\end{array}\right]$

do you know how to multiply matrices?

Read this, Matrix multiplication - Wikipedia, the free encyclopedia

or try this Matrix Multiplying Calculator

Good luck!

Thanks mate for helping me with this one .............. cheers mate

6. Originally Posted by zorro

7. ## Cheers mite

Originally Posted by pickslides

8. Just couldn't resist