Exercise 1.5.3

Answers

We have

\begin{array}{l} w^{T} w + z^{T} z & = {(u + v)}^{T} (u + v) + {(u - v)}^{T} (u - v) \\ = (u^{T} + v^{T}) (u + v) + (u^{T} - v^{T}) (u - v) \\ = u^{T} u + u^{T} v + v^{T} u + v^{T} v + u^{T} u - u^{T} v - v^{T} u + v^{T} v \\ = 2 u^{T} u + 2 v^{T} v . \end{array}

niuers

2020-03-20 00:00