Question

Prove that intersection of two linearly independent sets is linearly independent set

Answer 1

Answer: X∪Y is linearly independent

Step-by-step explanation:

Origonal Proof:

i.e. x=(λa+μb)=y for a,b∈X∪Y and scalers λ and μ in the Field. If (λa+μb)=0, then we are done, for x≠0≠y. Then a and b are in a linearly independent set, so X∪Y is linearly independent.