Tagged Questions
11
votes
1answer
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Polarization: etymology question
The polarization identity expresses a symmetric bilinear form on a vector space in terms of its associated quadratic form:
$$
\langle v,w\rangle = \frac{1}{2}(Q(v+w) - Q(v) - Q(w)),
$$
where $Q(v) ...
2
votes
0answers
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Quadratic transformations of vector spaces
Much is known about transformations of the following form
$$y_i = L_{ij}x_j \;\;: \;\; x\in\mathcal{R}^n, L\in\mathcal{R}^{n\times n}$$
We can infer a number of geometric properties about the ...
