Posted by **Anonymous** on Wednesday, December 7, 2011 at 10:18pm.

solve using matrices

x+3y-3z=12

3x-y+4z=0

-x+2y-z=1

- Urgent please help! matrices -
**MathMate**, Wednesday, December 7, 2011 at 10:53pm
Put in matrix form (the 4th column is the RHS):

1 3 -3 12

3 -1 4 0

-1 2 -1 1

proceed to transform to echelon form:

1 3 -3 12

0 10 -13 36 (3R1-R2)

0 5 -4 13 (R1+R3)

1 3 -3 12

0 10 -13 36

0 0 5 -10 (2R3-R2)

1 3 -3 12

0 10 -13 36

0 0 1 -2 (R3/5)

Back substitute

1 3 0 6 (3R3+R1)

0 1 0 1 (13R3+R2)/10

0 0 1 -2

1 0 0 3 (R1-3R2)

0 1 0 1

0 0 1 -2

So x=3, y=1, z=-2

## Answer This Question

## Related Questions

- Matrices (math) - 0.433= (45.6*A) + (3.152*B) 0.3363= (11.92*A) + (37.675*B) ...
- linear algebra - if: A and B are matrices and A^2 is similar to B^2 Is A ...
- Math (matrices) - No one answered my matrix question. Let me rephrase: Let A, B...
- Data management - Problems solving with Matrices [-3 1] * [ 4 7 0] 2 5 -3 -5 1 ...
- Math: matrices - If A and B are both square n x n matrices, If AB = I, prove BA...
- Math - I have a few questions about T-Matrix. In excel, I am suppose to work ...
- matrices - Two matrices can be multiplied only if their sizes are compatible. ...
- math - Which of the following subsets of the vector space Mnn are subspaces? (a...
- Algebra II (Matrices) - My book doesn't solve it like a linear equation, they ...
- Pre-Calc - I have to solve these using matrices by hand. Can someone please help...

More Related Questions