Chapter 6.2, Problem 54E

Determining Whether $T$ Is One-to-One, Onto, or Neither In Exercises $51-54$, determine whether the linear transformation is one-to-one, onto, or neither.

$T:R^5\to R^3$, $T\left(x\right)=Ax$, where $A$ is given in Exercise $18$

$18.$ $A=\left[\begin{array}{ccccc}-1& 3& 2& 1& 4\\ 2& 3& 5& 0& 0\\ 2& 1& 2& 1& 0\end{array}\right]$