Confirm or improve following multiplication of $2 \times 2$ matrix :

Question

Our textbook says the following: $$ \begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix} \cdot \begin{bmatrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{bmatrix} = \begin{bmatrix} b_{11} & b_{22} \\ 0 & 0 \end{bmatrix} $$ Being a novice when it comes to matrices, I am not entirely sure but, shouldn't it be \begin{bmatrix} b_{11} & b_{12} \\ 0 & 0 \end{bmatrix}