Let $A$ be a $5×4$ matrix with real enries such that the space of all solutions of the linear system $AX^t=[1,2,3,4,5]^t$ is given by $\{[1+2s,2+3s,3+4s,4+5s]^t:s\in\mathbb{R}\}$. Then the rank of $A$ is equal to
- $4$
- $3$
- $2$
- $1$
I am completely stuck on it. Can anyone help me please.