I am trying to solve a question where it is asked
Whether solution of the system is unique and if yes how. Details of the system are as given below :-
$1.$ System $AX = B$ is consistent.
$2.$ $A$ is a $6 \times 3$ matrix.
$ 3.$ Number of linearly independent rows in $A$ is $3$.
As linearly independent rows are $3$, so rank of matrix $A$ is $3$. As per my understanding if rank of matrix $=$ no. of unknowns, than system has unique solution. But in $6 \times 3$ matrix there can be $6$ unknowns, so is it possible that system can be unique, if yes how?