Chapter 5.4, Problem 1E

Consider the subspaceim(A) of ${ℝ}^2$ , where $A=\left[\begin{array}{cc}2& 4\\ 3& 6\end{array}\right]$ .
Find a basis of $\ker \left(A^T\right)$ , and draw a sketch illustratingthe formula ${\left(imA\right)}^{\perp }=\ker \left(A^T\right)$ in this case.