I am trying to prove that two determinants are equal. I've come quite far, but I do not know how to proceed and I cannot find any relevant properties. They contain the same matrices, but in a different ordering. Let $V$ be a $n\times n$ matrix, $H$ a $p\times n$ matrix, $H'$ its transpose, and $B$ a $p\times p$matrix:
Good references are also very welcome! I am currently mostly using the matrix cookbook.