Sous-Espace Vectoriel

Question 1

Sous-Espace =

Answer 1

A subspace is a vector space that is contained within another vector space. It is defined relative to some other (larger) vector space

Question 2

Steps to Solve Espace Vectoriel Problem (First Test)

Answer 2

1. Create two imaginary vectors that would need to fit in the espace vectoriel u=(a,b) v=(c,d)
2. Turn each into the equation of the vector subspace (ex: x-2y=0) (For above a-2b=0) To be used later

3) First Test add the two vectors (ex: u+ v) = (a+c, b+d)
x-2y = (a+c) - 2(b+d)
a-2b=0, c-2d=0 (Equation should answer 0, if it is to pass)

Question 3

Steps to Solve Espace Vectoriel Problem (Second Test Test)

Answer 3

1) Multiply them