f is an endomorphism of V such
that f○f=−Id_V .
1. Show that f is an isomorphism of
V and express f^(−1) in function of f.
2. show that 0^→ is the one invariant
vector by f.
3. Given u^→ ≠0^→ and u^→ ∈ V.
a. Show that (u^→ ; f(u^→ )) is a base of V.
b. Write the matrix of f in base
(u^→ ; f(u^→ )).
Daniel and Bruno are playing with perfect cube
Daniel is the first player if he obtains 1 or 2
he wins the game and the party stopping
or else Bruno plays and if he have {3.4.6} Bruno won and the game stopping
Determine the probability that Daniel winand the probability that Bruno win
On the Argand Diagram, the variable point
Z represents a complex number z.
Find the equation of the locus of a point
Z which moves such that ∣((z−1)/(z+2))∣=2