Practice question · True or false
If is a matrix with rank 2, then the system has a unique solution for every .
Hints
- Compare the rank with the number of unknowns.
- A rank below full size means the matrix cannot be inverted.
Show the answer
False
Why
Rank 2 < 3 means A is singular; the system may have no solution or infinitely many.
Practise Problem-Solving: Linear Algebra
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