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Linear Algebra and Learning from Data

Exercise 7.3.4

Answers

For $x$ and $y$ in $R^{n}$ , we have

$x^{T} y = \sum x_{i} y_{i}$ : so $\frac{\partial x^{T} y}{\partial x_{i}} = y_{i}$
For $A = x y^{T}$ , we have $A_{ij} = x_{i} y_{j}$ , so $\frac{\partial A_{jk}}{\partial x_{i}} = δ_{ji} y_{k}$

niuers

2020-03-20 00:00

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