Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system What should be the first elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Interchange row 3 and row 2 ✔B. Replace row 4 by its sum with -4 times row 3. fraction) (Type an integer or a simplified OC Replace row 2 by its sum with times row 4. (Type an integer or a simplified fraction) OD. Scale row 1 by (Type an integer or a simplified fraction) What should be the second elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. Replace row 1 by its sum with times row 4. (Type an integer or a simplified fraction) OB. Scale row 4 by (Type an integer or a simplified fraction.) 1-4 -1 02 4 0014-3 00 4 14

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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Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system.
(...)
What should be the first elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. Interchange row 3 and row 2.
B. Replace row 4 by its sum with
- 4 times row 3.
fraction.)
(Type an integer or a simplified
OC.
Replace row 2 by its sum with
times row 4.
(Type an integer or a simplified fraction.)
O D. Scale row 1 by
(Type an integer or a simplified fraction.)
What should be the second elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Replace row 1 by its sum with times row 4.
(Type an integer or a simplified fraction.)
OB. Scale row 4 by
(Type an integer or a simplified fraction.)
OC. Replace row 3 by its sum with times row 2.
(Type an integer or a simplified fraction.)
OD. Interchange row 1 and row 2.
1-4
30-1
0 2 -7
0
4
0
0
1
4 -3
0
0
4 14 2
Transcribed Image Text:Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system. (...) What should be the first elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Interchange row 3 and row 2. B. Replace row 4 by its sum with - 4 times row 3. fraction.) (Type an integer or a simplified OC. Replace row 2 by its sum with times row 4. (Type an integer or a simplified fraction.) O D. Scale row 1 by (Type an integer or a simplified fraction.) What should be the second elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Replace row 1 by its sum with times row 4. (Type an integer or a simplified fraction.) OB. Scale row 4 by (Type an integer or a simplified fraction.) OC. Replace row 3 by its sum with times row 2. (Type an integer or a simplified fraction.) OD. Interchange row 1 and row 2. 1-4 30-1 0 2 -7 0 4 0 0 1 4 -3 0 0 4 14 2
The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
OA. The solution set is empty.
O B. The solution has infinitely many elements.
OC. The solution set contains one solution:
(Type integers or simplified fractions.)
1 - 3 0
0 1
-2
0
0
0
0
0 -4
0-5
2
4
1 -1
0
1
Transcribed Image Text:The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The solution set is empty. O B. The solution has infinitely many elements. OC. The solution set contains one solution: (Type integers or simplified fractions.) 1 - 3 0 0 1 -2 0 0 0 0 0 -4 0-5 2 4 1 -1 0 1
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