1. Show that the set V of all 3 x 3 matrices with real entries is a Vector Space. (Hint: Test all the 10 Axioms) 2. Let V₁ = (1,2,3), V₂ = (4,5,6), and V3 = (7,8,9). a. Show whether the vector is a linear combination b. Determine whether the vectors span the vector space R³ 2- c. Determine whether {V₁.V2, V3} is linearly independent or linear dependent in R³ 3. Determine whether the functions are linearly dependent or linearly independent on = (-00,00) f(x)=x, f(x)=x+x², and f(x)=2x-x².