Suppose a system of linear equations has a 3x5 augmented matrix whose fifth column is not a pivot column. Is the system consistent? Wi or why not? To determine if the linear system is consistent, use the portion of the Existence and Uniqueness Theorem, shown below. A linear system is consistent if and only if the rightmost column of the augmented matrix echelon form of the augmented matrix has of the form [0.. ... a pivot column. That is, if and only if an 0 b] with b nonzero
Suppose a system of linear equations has a 3x5 augmented matrix whose fifth column is not a pivot column. Is the system consistent? Wi or why not? To determine if the linear system is consistent, use the portion of the Existence and Uniqueness Theorem, shown below. A linear system is consistent if and only if the rightmost column of the augmented matrix echelon form of the augmented matrix has of the form [0.. ... a pivot column. That is, if and only if an 0 b] with b nonzero
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Suppose a system of linear equations has a 3x5 augmented matrix whose fifth column is not a pivot column. Is the system consistent? Why
or why not?
To determine if the linear system is consistent, use the portion of the Existence and Uniqueness Theorem, shown below.
A linear system is consistent if and only if the rightmost column of the augmented matrix
echelon form of the augmented matrix has
of the form [0.
a pivot column. That is, if and only if an
0 b] with b nonzero](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dbff557-c987-45fc-8dd6-6084416c9157%2Fc45699d0-e79d-4f2f-a0b9-9bd5e0a15279%2F8jnlcri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose a system of linear equations has a 3x5 augmented matrix whose fifth column is not a pivot column. Is the system consistent? Why
or why not?
To determine if the linear system is consistent, use the portion of the Existence and Uniqueness Theorem, shown below.
A linear system is consistent if and only if the rightmost column of the augmented matrix
echelon form of the augmented matrix has
of the form [0.
a pivot column. That is, if and only if an
0 b] with b nonzero
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