Justify that, for every pair $(A , B)$ of elements of $\mathcal { M } ( n , \mathbb { K } )$, the matrix $[ A , B ]$ belongs to $\mathcal { M } _ { 0 } ( n , \mathbb { K } )$.
Justify that, for every pair $(A , B)$ of elements of $\mathcal { M } ( n , \mathbb { K } )$, the matrix $[ A , B ]$ belongs to $\mathcal { M } _ { 0 } ( n , \mathbb { K } )$.