1
Soient \(E = \left\{ (x, y, z, t) \in \Rr^4 / x + y + z + t = 0\right\}\) et \(F = \left\{ (x, y, z, t) \in \Rr^4 / x + y = z + t \right\}\). Déterminer \(\dim E, \dim F, \dim (E + F), \dim (E \cap F)\).
Soient \(E = \left\{ (x, y, z, t) \in \Rr^4 / x + y + z + t = 0\right\}\) et \(F = \left\{ (x, y, z, t) \in \Rr^4 / x + y = z + t \right\}\). Déterminer \(\dim E, \dim F, \dim (E + F), \dim (E \cap F)\).