grandes-ecoles 2010 QI.B.1

grandes-ecoles · France · centrale-maths2__mp Proof Direct Proof of a Stated Identity or Equality
Let $q \in Q(E)$.
Show that there exists a unique symmetric bilinear form on $E$, denoted $\varphi$, such that $q = q_\varphi$. 
Let $q \in Q(E)$.

Show that there exists a unique symmetric bilinear form on $E$, denoted $\varphi$, such that $q = q_\varphi$.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.B.1 QI.B.2 QI.B.3 QII.A.1 QII.A.2 QII.A.3 QII.A.4 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QII.C.1 QII.C.2 QII.C.3 QII.C.4 QII.C.5 QIII.A.1 QIII.A.2 QIII.B.1 QIII.B.2 QIII.B.3 QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.B.1 QIV.B.2 QIV.B.3 QIV.B.4