Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider a system of linear equations with augmented matrix A and coefficient matrix C.
If A has a row of zeros, then the system [ Select ]
[ Select ]
If C has a row of zeros, then the system is indeterminate
has a unique solution
has infinitely many solutions
has no solution
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Transcribed Image Text:Consider a system of linear equations with augmented matrix A and coefficient matrix C. If A has a row of zeros, then the system [ Select ] [ Select ] If C has a row of zeros, then the system is indeterminate has a unique solution has infinitely many solutions has no solution
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Step 1

A system of linear equations with augmented matrix A and coefficient matrix C will have the following solution according to the  criteria-

(1) No solution-

If Rank of A Rank of C

(2) Unique solution -

If Rank of A = Rank of C = number of unknowns

(3) Infinite solutions -

If Rank of A = Rank of C < number of unknowns

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