Vectors are often written column-wise as if they were $n\times 1$ matrices:
$$ \mathbf{v} := \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} $$
This notation implicitly identifies the vector $\mathbf{v}\in \mathbf{R}^3$ with its equivalent matrix, which represents a linear operator
$$ v: \mathbf{R}^1 \to \mathbf{R}^3 \\ v(t) := \begin{bmatrix} t \\ 2t \\ 3t \end{bmatrix} $$
Thus, identifying a real scalar $\lambda\in\mathbf{R}$ with its corresponding $1$-vector, it would seem to make sense that scalar multiplication of this vector with real scalar $\lambda\in\mathbf{R}$ be written as
$$ \mathbf{v}\lambda $$
to match the usual notation for matrix-vector multiplication, where the operator is written on the left. However, it is more common to see
$$ \lambda \mathbf{v} $$
where the expression cannot be read as a covector-matrix multiplication, because the $1\times 1$ dimension of the scalar $\lambda$ is apparently incompatible with the $3\times 1$ matrix $\mathbf{v}$. Why is this second notation, with the scalar on the left, more common?