Consider the following. A = O The matrix 1 1 -5 0 2 1 -1 6 To determine whether b is in col(A), which of the following must be true? O The augmented matrix is consistent as a linear system. O The augmented matrix O The matrix Is b in col(A)? O Yes O No A b 1 , b = b Consider the following 1 A b b] is inconsistent as a linear system. can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
Consider the following. A = O The matrix 1 1 -5 0 2 1 -1 6 To determine whether b is in col(A), which of the following must be true? O The augmented matrix is consistent as a linear system. O The augmented matrix O The matrix Is b in col(A)? O Yes O No A b 1 , b = b Consider the following 1 A b b] is inconsistent as a linear system. can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the following.
A =
O The matrix
To determine whether b is in col(A), which of the following must be true?
O The augmented matrix
is consistent as a linear system.
O The matrix
O The augmented matrix A b
Is b in col(A)?
O Yes
O No
1
1 -5
0
2
1 -1 6
A =
Consider the following.
O The matrix
A
b
O The matrix
b
Is w in row(A)?
O Yes
O No
1
6
To determine whether w is in row(A), which of the following must be true?
O The augmented matrix A W is consistent as a linear system.
1 , b =
1
0 2
1 -1
A
O The augmented matrix
W
A
W
can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
1
b] is inconsistent as a linear system.
cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
1 -5
1 , W =
-9]
2 4 -9
[Aw] is inconsistent as a linear system.
А
can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c4c6df5-8b96-455e-b2de-04bdb043521a%2F8d57bd50-9813-46a9-a314-b22a3865c366%2Ff356zo9_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
A =
O The matrix
To determine whether b is in col(A), which of the following must be true?
O The augmented matrix
is consistent as a linear system.
O The matrix
O The augmented matrix A b
Is b in col(A)?
O Yes
O No
1
1 -5
0
2
1 -1 6
A =
Consider the following.
O The matrix
A
b
O The matrix
b
Is w in row(A)?
O Yes
O No
1
6
To determine whether w is in row(A), which of the following must be true?
O The augmented matrix A W is consistent as a linear system.
1 , b =
1
0 2
1 -1
A
O The augmented matrix
W
A
W
can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
1
b] is inconsistent as a linear system.
cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
1 -5
1 , W =
-9]
2 4 -9
[Aw] is inconsistent as a linear system.
А
can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
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