Let $A, B, C, D \in M_n(F)$, such that $C$ and $D$ are invertible and $CD=DC$.
Prove:
\begin{vmatrix} A & B \\ C & D \end{vmatrix} = $|AD - BC|$
What is the direction? Thanks.
Let $A, B, C, D \in M_n(F)$, such that $C$ and $D$ are invertible and $CD=DC$.
Prove:
\begin{vmatrix} A & B \\ C & D \end{vmatrix} = $|AD - BC|$
What is the direction? Thanks.