{v1, V2;-… . , Vn} a Free Vector Family In R".Let's define the whole (B2)let E = { A € Mn,n(R) | v1, v2, ... , Vn are eigenvectors of A} (a) Show that E is a vector space on R for all n EN (b) Give a...

Extracted text: {v1, V2;-… . , Vn} a Free Vector Family In R".Let's define the whole (B2)let E = { A € Mn,n(R) | v1, v2, ... , Vn are eigenvectors of A} (a) Show that E is a vector space on R for all n EN (b) Give a basis of E for n = 4 by explicitly checking the necessary conditions. %3D