9000019906

Level: 
Project ID: 
9000019906
Accepted: 
1
Clonable: 
0
Easy: 
0
Consider a linear system of four equations with four unknowns. The rank of the coefficient matrix \(A\) is \(\mathop{\mathrm{rank}}(A) = 3\). The rank of the augmented matrix \(A'\) is \(\mathop{\mathrm{rank}}(A') = 4\). Identify a true statement on this system.
The system does not have any solution.
The system has infinitely many solutions.
The system has a unique solution.
It is not possible to draw any conclusion from this information.