*This preview shows
pages
1–4. Sign up
to
view the full content.*

Gaussian Elimination: three equations, three unknowns
Use the Gauss-Jordan Elimination method to solve systems of linear
equations.
1
Write corresponding augmented coeﬃcient matrix
2
reduce to reduced row echelon form (rref), using three elementary
row operations
3
from reduced matrix write the equivalent system of equations
4
solve for leading variables in terms of non-leading variables (if any)
5
set non-leading variables to any real number
6
write solution to system in matrix form. This is not part of G-J but
is required for exam 1

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up* Gaussian Elimination: three equations,three unknowns
equation of plane and graph
- 10
- 9
- 8
- 7
- 6
x
- 5
- 4
- 8
- 3
- 7
- 6
y
- 5
- 2
- 6
- 4
- 5
- 4
- 3
- 1
- 3
- 2
- 2
- 1
- 1
0
0
1
1
2
2
1
3
3
4
4
5
2
6
5
7
6
8
3
7
9
10
8
11
9
4
12
13
14
5
6
7
8
9
10
Equations of form
ax + by + cz = d
graph as a plane in three
dimensional space

Gaussian Elimination: three equations, three unknowns
case I: one solution
x + 2y + z = 5
(1)
2x + y + 2z = 7
(2)
x + 2y + 4z = 4
(3)

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
This is the end of the preview. Sign up
to
access the rest of the document.