If $\det(A)=0$, then the homogeneous system $Ax=0$ has infinitely many solutions.
The statement is true. Am I right to say if $\det(A)=0$, then the reduced row echelon form of $A$ has a row of zeros, hence $Ax=0$ has infinitely many solutions?
2026-04-05 12:08:29.1775390909
If $Ax=0$ then does the RREF have a row of zeros?
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