3. Here are 9 ISBN numbers: V1 1-000-00000-1, U2 = 0-100-00000-2, . . . , ag 0-000-00001-9 Show that fv, . . , va) is a basis for the set of ISBN numbers as follows:. (a) Span: Ifa is an ISBN number, explain why there are constants c1, . . . , 9 E Z/11Z such that a = C1V1 + + c9v9 (b) Linear Independence: If ci,.. ., cg Z/11Z are constants such that civi+.cug 0-000- 00000- 0, explain why ci,., Co must all be zero