Exercise 6.8.10

Answers

The necessity comes from Exercise 6.8.8(c). For the sufficiency, we know that

{(ψ_{β} (H))}_{ij} = H (v_{i}, v_{j}) = e_{i}^{t} A e_{j} = A_{ij},

where $v_{i}, v_{j}$ are elements in $β$ and $e_{i}, e_{j}$ are the elements in the standard basis in $𝔽^{n}$ .

jephianlin

2011-06-27 00:00