Consider a system of linear equations with augmented matrix A and coefficient matrix C. If C has a row of [0 0 0...00 1], then the system (Select ] If a row-echelon form of C has a row of [0 0 0...00 1], then the system [ Select ] [ Select ] is indeterminate inconcictont

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 a system of linear equations with augmented matrix A and coefficient matrix C.
If C has a row of [0 00...00 1], then the system
[ Select ]
If a row-echelon form of C has a row of [0 00...00 1], then the system [ Select ]
[ Select ]
is indeterminate
is inconsistent
Previous
is consistent
Next »
Transcribed Image Text:Consider a system of linear equations with augmented matrix A and coefficient matrix C. If C has a row of [0 00...00 1], then the system [ Select ] If a row-echelon form of C has a row of [0 00...00 1], then the system [ Select ] [ Select ] is indeterminate is inconsistent Previous is consistent Next »
Expert Solution
Step 1

Consider a system of equations

a1x1+a2x2+......+anxn=p1b1x1+b2x2+........+bnxn=p2......................................................................................ai1x1+ai2x2+...........+ai nxn=pn

The augmented matrixK and coefficient matrix S for this system of equation will be of the form

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