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Proof of a Determinant

Amer

Active member
Mar 1, 2012
275
\[ \text{Let u,v } \in \mathbb{R}^n \;\; \text{Show that } \;\;, Det(I + uv^T) = 1 + v^T u \]

I is the identity matrix nxn
any hints ?
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,488