3. If a system of equations has corresponding matrix whose reduced echelon form has only pivots (leading entries) to the left of the augment line, but there are fewer pivots than variables, how do we know there are infinitely many solutions?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.3MCQ
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3.
If a system of equations has corresponding matrix whose reduced echelon form has only pivots (leading
entries) to the left of the augment line, but there are fewer pivots than variables, how do we know
there are infinitely many solutions?
Transcribed Image Text:3. If a system of equations has corresponding matrix whose reduced echelon form has only pivots (leading entries) to the left of the augment line, but there are fewer pivots than variables, how do we know there are infinitely many solutions?
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