I have been watching 3blue1brown's Essence of Linear Algebra series on youtube, and I have a question about $2 \times 3$ matrices. For example: \begin{bmatrix}3&1&4\\1&5&9\end{bmatrix}
Although the basis vectors are linearly independent, the matrix transforms 3D space into 2D space. Thus, would this matrix be considered full rank or not?