Question

Use Gaussian elimination to find the complete solution to the system of equations, or find that none exists.

3x - 2y + 2z - w = 2
4x + y + z + 6w = 8
-3x + 2y - 2z + w = 5
5x + 3z - 2w = 1

Answer 1

A. {(2, 0, -3/37, 9/37)}
B. {(1, -1/3, 4/9, 6)}
C. ∅
D. {( 1/2, 0, -37/3, 37/9)}

Answer 2

The first thing I would do is start with equatino #3. Move it to the top. Then, add it to the three other equations. This doesn't quite finish off the first column (x), but it does get you on your way.

Answer 3

i just don't understand how to do this

Answer 4

Did you do what I said? That's a really good start.