SOLUTION: Please help Find the reduced echelon form of this augmented matrix Please!!!!!!!!!! Help me with this problem. Show all work and steps. Thanks 3. Find the reduced

Algebra ->  Matrices-and-determiminant -> SOLUTION: Please help Find the reduced echelon form of this augmented matrix Please!!!!!!!!!! Help me with this problem. Show all work and steps. Thanks 3. Find the reduced       Log On


   

Question 1003862: Please help
Find the reduced echelon form of this augmented matrix
Please!!!!!!!!!! Help me with this problem. Show all work and steps. Thanks

3. Find the reduced row echelon form of this augmented matrix
[1 -4 2 200
-2 9 -4 150
1 -4 3 100]


Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the reduced row echelon form of this augmented matrix
[1 -4 2 200
-2 9 -4 150
1 -4 3 100]
------------------
Add 2 times row1 to row2
Subtract 1 times row1 from row3
------------------
1 -4 2 200
0 1 0 550
0 0 1 -100
---------------------
That is the reduced eschelon form
=====================================
Cheers,
Stan H.
=====================================

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
[1 -4  2 200
-2  9 -4 150
 1 -4  3 100]

2R1+R2->R2      2 -8  4 400
               -2  9 -4 150 
               ------------
                0  1  0 550

[1 -4  2 200
 0  1  0 550
 1 -4  3 100]

-1R1+R3->R3    -1  4 -2 -200
                1 -4  3  100
               -------------
                0  0  1 -100

[1 -4  2  200
 0  1  0  550
 0  0  1 -100]

4R2+R1->R1      0  4  0 2200
                1 -4  2  200
               -------------
                1  0  2 2400

[1  0  2 2400
 0  1  0  550
 0  0  1 -100] 

-2R3+R1->R3     0  0 -2  200
                1  0  2 2400
               --------------
                1  0  0 2600

[1  0  0 2600
 0  1  0  550
 0  0  1 -100] 
                
Edwin