Solve the system by finding the reduced row-echelon form of the augmented matrix. -4x +2y- 4z = -12 -x-3y+13z = -17 3y + 13z = -21 - Fill in the blanks for the first 3 columns of the reduced row-echelon form of the augmented matrix: 9. 9. How many solutions are there to this system? 9- *** *** ***

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the system by finding the reduced row-echelon form of the augmented matrix.
How many
Fill in the blanks for the first 3 columns of the reduced row-echelon form of the
augmented matrix:
4
O A. None
OB. Exactly 1
O C. Exactly 2
OD. Exactly 3
OE. Infinitely many
OF. None of the above.
x=
y =
9-
2=
9.
solutions are there to this system?
-4x+2y-4z
-x-3y + 13z
-x - 3y + 13z
If there is one solution, give its coordinates in the answer spaces below.
If there are infinitely many solutions, enter z in the answer blank for z, enter a formula
for y in terms of z in the answer blank for y and enter a formula for æ in terms of z in
the answer blank for æ.
If there are no solutions, leave the answer blanks for x, y and z empty.
9-
= -12
= -17
= -21
9-
***
***
18
***
Transcribed Image Text:Solve the system by finding the reduced row-echelon form of the augmented matrix. How many Fill in the blanks for the first 3 columns of the reduced row-echelon form of the augmented matrix: 4 O A. None OB. Exactly 1 O C. Exactly 2 OD. Exactly 3 OE. Infinitely many OF. None of the above. x= y = 9- 2= 9. solutions are there to this system? -4x+2y-4z -x-3y + 13z -x - 3y + 13z If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for æ in terms of z in the answer blank for æ. If there are no solutions, leave the answer blanks for x, y and z empty. 9- = -12 = -17 = -21 9- *** *** 18 ***
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