Suppose $A$ is a $44$ coefficient matrix for a homogeneous system of equations.

A$)$ If rank$(A)=4,$ then the homogeneous system will have $($select all that are possible$)$:

No solutions

Exactly one solution

Infinite Solutions

B$)$ If rank$(A)=2,$ then the homogeneous system will have $($select all that are possible$)$:

No solutions

Exactiy one solution

Infinite Solutions