mathsexpertes.py

Created on December 18, 2023

493 Bytes

module:|z|:longueur OM=sqrt(x**2+y**2)
forme trigo de z=r(cosθ+isinθ)
forme algé : x+iy
forme algé->forme trigo: z/{z}=(cosθ+isinθ)
x=|z|cosθ
y=|z|sinθ



matrice A inversible que si AB=BA=In
det(A)=ad-bc
et A est inversible si det(A)different de 0
B=(d  -b)
  (-c  a)    
A-1=(1/det(A))*B

système de cramer :A*X=B et X=A-1*B

symétrie axiale abscisse :
1 0
0 -1

symétrie axiale ordonnée :
-1 0
 0 1

rotation :
  cosθ -sinθ
  sinθ cosθ

homothétie :
  k 0
  0 k

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