My professor earlier this week proved the following proposition but looking back at the notes I've taken I haven't been able to neither follow the demonstration nor understand the missing parts; so here I am asking for help... The proposition goes as it follows: Let $M\in M_n(\Bbb{K})$ be a block matrix as it follows: $$M=\left( \begin{matrix}% A & B \\% 0 & C% \end{matrix} \right);A\in M_k(\Bbb{K}),C\in M_{n-k}(\Bbb{K})$$ Then, $\det{M}=\det{A}\det{C}$.
Asked
Active
Viewed 61 times
