Suppose $T:\mathbb R^4\rightarrow\mathbb R^4$ is the transformation induced by the following matrix $A$. Determine whether $T$ is one-to-one and/or onto. If it is not one-to-one, show this by providing two vectors that have the same image under $T$. If $T$ is not onto, show this by providing a vector in $\mathbb R^4$ that is not in the range of $T$.
Please help, I reduced the matrix and I can figure out if it is one to one or onto, but I don't know how to get the image under $T$ or whatever it is asking.