This is from Linear Algebra: more specifically, from Chapter 3: Vector Spaces, Section 3: Linear Ind… Show more This is from Linear Algebra: more specifically, from Chapter 3: Vector Spaces, Section 3: Linear Independence and Basis. This is from the book Linear Algebra A Geometric Approach. 1) Let A be an m x n matrix of rank n. Suppose v1,…,vk and {v1,…,vk} is linearly independent. Prove that {Av1,…,Avk} is likewise linearly independent. (N.B.: If you did not explicitly make use of the assumption that rank (A) =n, your proof cannot b correct. Why?) • Show less