MHB Proving Determinant: u,v in R^n | Det(I + uv^T) = 1 + v^Tu

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

I is the identity matrix nxn
any hints ?
 
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