Let $$A=\left[\begin{matrix}1\ 2\ 3,&4\ 5\ 6,&7\ 8\ 9\\\end{matrix}\right]^T$$ be the A in the Transformation $$T(x)=Ax$$ in my opinion its weird that it looks like ([1x3],[1x3],[1x3])^T and doesn't make any sense, so i just asume that, $$A=\left[\begin{matrix}1\ 2\ 3,&4\ 5\ 6,&7\ 8\ 9\\\end{matrix}\right]^T=\left[\begin{matrix}1&2&3\\4&5&6\\7&8&9\\\end{matrix}\right]^T=\left[\begin{matrix}1&4&7\\2&5&8\\3&6&9\\\end{matrix}\right]$$ since if they want, $$A=\left[\begin{matrix}\left[\begin{matrix}1\\2\\3\\\end{matrix}\right],&\left[\begin{matrix}4\\5\\6\\\end{matrix}\right],&\left[\begin{matrix}7\\8\\9\\\end{matrix}\right]\\\end{matrix}\right]^T=\left[\begin{matrix}1&2&3\\4&5&6\\7&8&9\\\end{matrix}\right]$$ which is normal, they should've put it as row like in the book, $$A=\left[\begin{matrix}r_1&r_2&r_3\\\end{matrix}\right]^T=\left[\begin{matrix}r_1\\r_2\\r_3\\\end{matrix}\right]$$ So my question is, do you think if I disagree with the professor, he will consider it? or I'm just plain wrong ?
I'm sorry if this is a stupid question, I'm badly needing a second opinion before I try to humiliate myself infront of my Professor.