Practice question · True or false
A system of 3 equations in 3 unknowns always has exactly one solution.
Hints
- Equal counts of equations and unknowns is not the same as independence.
- Two equations describing the same plane leave a whole family of solutions.
Show the answer
False
Why
It may have zero, one, or infinitely many solutions depending on the rank.
Practise Systems of Linear Equations and Gaussian Elimination
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