EDB — 1N2

Exercises

1. [1N2]Prerequisites:[1MW]↺↻.Difficulty:*.

   Prove the relations

   \[ \frac{d\hskip5.5pt}{d{t}} \exp (A+tB)|_{t=0}=\int _ 0^ 1 \exp (s A)B\exp ((1-s) A) \, {\mathbb {d}}s~ ~ . \]

   using the relations [(18.20)]↺↻ and [(18.21)]↺↻ from exercise [1MW]↺↻.

   [ [1N3]↺↻]