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Results tagged with block-matrices
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user 48839
14
votes
How to prove this determinant is positive?
Update 1: Thanks to jjcale for pointing out a fatal flaw. Indeed $SO(n,n)$ has two components, see here, and it looks suspiciously like my $T$ below is in the wrong component. I don't really know what …
- 24.2k
18
votes
Accepted
Determinant of a $k \times k$ block matrix
We can just manipulate $C$ in the usual way by row operations: Subtract the last "row" from all the other "rows" (this is really several traditional row operations done at once). This produces
$$
\beg …
- 24.2k