Row reduce the matrix to reduced echelon form. Identify the pivot positions in the final matrix and in the original matrix, and list the pivot columns. 1 2 3 4 4 5 6 7 6 7 8 9 Row reduce the matrix to reduced echelon form and identify the pivot positions in the final matrix. The pivot positions are indicated by bold values. Choose the correct answer below. A. 1200 0014 0000 B. 1000 0100 0011 C. 10-1-2 01 2 3 00 0 0 D. 1001 0104 0016

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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Row reduce the matrix to reduced echelon form. Identify the pivot positions in the final matrix and in the original matrix,
and list the pivot columns.
1 2 3 4
4 5 6 7
6789
A.
Row reduce the matrix to reduced echelon form and identify the pivot positions in the final matrix. The pivot positions are
indicated by bold values. Choose the correct answer below.
1200
0014
0000
B.
...
1000
0100
0011
C.
10-1 - 2
01 2 3
0000
D.
1001
0104
0016
Transcribed Image Text:Row reduce the matrix to reduced echelon form. Identify the pivot positions in the final matrix and in the original matrix, and list the pivot columns. 1 2 3 4 4 5 6 7 6789 A. Row reduce the matrix to reduced echelon form and identify the pivot positions in the final matrix. The pivot positions are indicated by bold values. Choose the correct answer below. 1200 0014 0000 B. ... 1000 0100 0011 C. 10-1 - 2 01 2 3 0000 D. 1001 0104 0016
Find the general solution of the system whose augmented matrix is given below.
1
0
0
0
- 20 - 1
0 - 9
10 0
7 2
00 1
6 7
00 0 0 0
Select the correct choice below and, if necessary, fill in the answer boxes to complete your answer.
O A.
X₁
X₂ is free
=
X4 is free
X5 is free
B.
X1
||
=
x₂ =
X3 is free
X5 is free
C.
X1
=
=
x₂ =
X3 is free
X4=
X5 =
D.
The system is inconsistent.
Transcribed Image Text:Find the general solution of the system whose augmented matrix is given below. 1 0 0 0 - 20 - 1 0 - 9 10 0 7 2 00 1 6 7 00 0 0 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your answer. O A. X₁ X₂ is free = X4 is free X5 is free B. X1 || = x₂ = X3 is free X5 is free C. X1 = = x₂ = X3 is free X4= X5 = D. The system is inconsistent.
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