Consider the following. A = - [1: -1] -- [:] b = To determine whether b is in col(A), which of the following must be true? O The augmented matrix [Ab] is is consistent as a linear system. The augmented matrix [Ab]i is inconsistent as a linear system. The matrix The matrix Is b in col(A)? O Yes O No Consider the following. O To determine whether w is in row(A), which of the following must be true? The augmented matrix [4|W O The matrix can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. b A b A = [1 −1] W-[-1 1 1] 10-1 1 = The augmented matrix The matrix Is w in row(A)? O Yes No cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. A W W A w is consistent as a linear system. [4]w ] A 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 = - [1: -1] -- [:] b = To determine whether b is in col(A), which of the following must be true? O The augmented matrix [Ab] is is consistent as a linear system. The augmented matrix [Ab]i is inconsistent as a linear system. The matrix The matrix Is b in col(A)? O Yes O No Consider the following. O To determine whether w is in row(A), which of the following must be true? The augmented matrix [4|W O The matrix can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. b A b A = [1 −1] W-[-1 1 1] 10-1 1 = The augmented matrix The matrix Is w in row(A)? O Yes No cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. A W W A w is consistent as a linear system. [4]w ] A 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
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![Consider the following.
A =
- [1: -1] -- [:]
b =
To determine whether b is in col(A), which of the following must be true?
O The augmented matrix
[Ab] is
is consistent as a linear system.
The augmented matrix [Ab]i is inconsistent as a linear system.
The matrix
The matrix
Is b in col(A)?
O Yes
O No
Consider the following.
O
To determine whether w is in row(A), which of the following must be true?
The augmented matrix [4|W
O The matrix
can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
b
A
b
A = [1 −1] W-[-1 1 1]
10-1
1
=
The augmented matrix
The matrix
Is w in row(A)?
O Yes
No
cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
A
W
W
A w is consistent as a linear system.
[4]w ]
A 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80f111f6-0d95-4cf8-96b4-3829b811cad3%2F4f206373-560d-4712-8064-12e2a717d4ad%2Fac8k16q_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
A =
- [1: -1] -- [:]
b =
To determine whether b is in col(A), which of the following must be true?
O The augmented matrix
[Ab] is
is consistent as a linear system.
The augmented matrix [Ab]i is inconsistent as a linear system.
The matrix
The matrix
Is b in col(A)?
O Yes
O No
Consider the following.
O
To determine whether w is in row(A), which of the following must be true?
The augmented matrix [4|W
O The matrix
can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
b
A
b
A = [1 −1] W-[-1 1 1]
10-1
1
=
The augmented matrix
The matrix
Is w in row(A)?
O Yes
No
cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
A
W
W
A w is consistent as a linear system.
[4]w ]
A 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.
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