Practice question · Multiple choice
A row of zeros appears in the coefficient part during elimination. Why does that not by itself mean the system has no solution?
Hints
- Write out what the zero row says as an equation.
- Look to the right of the bar.
Show the answer
C. Because everything depends on the augmented entry on the right
Why
The zero row alone says nothing; the augmented column decides. is redundancy and is inconsistency, the same left-hand side with opposite verdicts.
Practise Gaussian Elimination and Rank
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