Consider the following. 0 - [1:-1) • To determine whether b is in col(A), which of the following must be true? The augmented matrix Ab is consistent as a linear system. The augmented matrix [A]b] is inconsistent as a linear system. A = The matrix The matrix Is b in col(A)? O Yes O No Consider the following. The matrix can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. b b The matrix A = [1 1 -1 ]- W - [ -₁ 1 1] - -1 To determine whether w is in row(A), which of the following must be true? The augmented matrix [A/W] is consistent as a linear system. The augmented matrix Is w in row(A)? O Yes O No b = W cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. A W 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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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Question
Consider the following.
0
- [1:-1) •
To determine whether b is in col(A), which of the following must be true?
The augmented matrix Ab is consistent as a linear system.
The augmented matrix [A]b] is inconsistent as a linear system.
A =
The matrix
The matrix
Is b in col(A)?
O Yes
O No
Consider the following.
The matrix
can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
b
b
The matrix
A = [1 1 -1 ]- W - [ -₁ 1 1]
-
-1
To determine whether w is in row(A), which of the following must be true?
The augmented matrix [A/W] is consistent as a linear system.
The augmented matrix
Is w in row(A)?
O Yes
O No
b =
W
cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row.
A
W 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.
Transcribed Image Text:Consider the following. 0 - [1:-1) • To determine whether b is in col(A), which of the following must be true? The augmented matrix Ab is consistent as a linear system. The augmented matrix [A]b] is inconsistent as a linear system. A = The matrix The matrix Is b in col(A)? O Yes O No Consider the following. The matrix can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. b b The matrix A = [1 1 -1 ]- W - [ -₁ 1 1] - -1 To determine whether w is in row(A), which of the following must be true? The augmented matrix [A/W] is consistent as a linear system. The augmented matrix Is w in row(A)? O Yes O No b = W cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. A W 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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