Question 985378
<font size = 5><b>Write the augmented matrix associated with the 
system of equations.

2x+y+2z=0
4x+3y-z=1
5x-4y+3z=-41
<pre>
Line up the like variables on the left,
the equal signs and the constant terms 
on the right like this:

2x +  y + 2z =   0
4x + 3y -  z =   1
5x - 4y + 3z = -41

Put 1 or -1 coefficients where they are understood:

2x + 1y + 2z =   0
4x + 3y - 1z =   1
5x - 4y + 3z = -41

Now erase all the variables

2  + 1  + 2  =   0
4  + 3  - 1  =   1
5  - 4  + 3  = -41

Place the signs close to the
numbers.

2   +1   +2  =   0
4   +3   -1  =   1
5   -4   +3  = -41

Erase the + signs:

2    1    2  =   0
4    3   -1  =   1
5   -4    3  = -41

Replace the equal signs with
a dotted line:

2    1    2  |   0
4    3   -1  |   1
5   -4    3  | -41

Now place brackets around the whole 
thing:

<font face = "symbol">æ</font>2    1    2  |   0<font face = "symbol">ö</font>
<font face = "symbol">ç</font>4    3   -1  |   1<font face = "symbol">÷</font>
<font face = "symbol">è</font>5   -4    3  | -41<font face = "symbol">ø</font>

That's the augmented matrix.

Edwin</pre>