Exercise 3.1.1

Answers

\begin{array}{l} {(I - u v^{T})}^{- 1} & = I + u v^{T} + u v^{T} u v^{T} + u v^{T} u v^{T} u v^{T} + \dots \\ = I + u (1 + v^{T} u + v^{T} u v^{T} u + \dots] v^{T} \\ = I + u \frac{1}{1 - v^{T} u} v^{T} \\ = I + \frac{u v^{T}}{1 - v^{T} u} \end{array}

niuers

2020-03-20 00:00