solve the system using a matrix

Question

Solve the system using a MATRIX 
x1+2x2-2x3-2x5+4x6=-4
-x4-3x5+2x6=9
x1+2x2+6x5+6x6=0

x1=?
x2=?
x3=?
x4=?
x5=?
x6=?

Answer 1

You need to put this in a matrix and then row reduce

1 2 -2  0 -2 4 -4
0 0  0 -4 -3 2  9
1 2  0  0  6  6  0

 

This simplifies to

1 2 0 0 6  6  0

0 0 1 0 4  1  2

0 0 0 1 3 -2 -9

If you need help on how to reduce this you can google how to row reduce (it is simple to do, but rather lengthy to explain)

 

reading this matrix gives

x1=-2s-6t-6v

x3=2-4t-v

x4=-9-3t+2v

x2=s

x5=t

x6=v