SOLUTION: perform matrix row operation and write the new matrix 1 2 2 2 0 1 -1 2 -5R2+R3 0 5 4 1

Question 558333: perform matrix row operation and write the new matrix
1 2 2 2
0 1 -1 2 -5R2+R3
0 5 4 1
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
perform matrix row operation and write the new matrix

1  2  2  2
0  1 -1  2   -5R2+R3
0  5  4  1

-5R2+R3
 
-5R2 means to do this work to the side 

1. Multiply row #2 by -5 :  -5(0  1 -1  2) = (0 -5  5 -10)

and then +R3 means
 
2. Add that to row #3  :     (0 -5  5 -10) + (0  5  4  1) = (0  0  9  -9)
         
3. Replace row #3 by (0  0  9  -9)

1  2  2  2
0  1 -1  2   
0  0  9 -9

That's the new matrix.

Edwin

RELATED QUESTIONS
perform the matrix row operations and write the new matrix |2 -4 1 | 4 | |-5 0 1 | -3 | (answered by venugopalramana)

You have the following matrix, and perform the following 3 row operations. What is the... (answered by Edwin McCravy)

Consider the matrix. -7 4 -6 4 -7 4 2 -3 0 -5 -3 9 10 -3 -4 -9 2 (answered by ikleyn)

Use the given matrix and perform the matrix operation (1/3) Row 1 [3 2 | 8 [5 2 |... (answered by Alan3354)

Perform the indicated row operations, then choose the new matrix. [ 1 1 1 |-1] [-1 2... (answered by Edwin McCravy)

Perform the row operations indicated beside the matrix. Write the matrix obtained. 5 1 (answered by ikleyn)

Please help with this one... perform the indicated row operation on the matrix [-1... (answered by venugopalramana)

use the given matrix to preform the operation 3 R3 and select the correct option? 1 -2 (answered by jim_thompson5910)

Perform in order (a), (b), and (c) on the augmented matrix. (a) R2= -2r1 + r2 (b) R3=... (answered by jsmallt9)