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