Letni,..., nk be pairwise relatively prime odd integers greater than 1. For i {1,...,k}, let f: (x) = m-12-1. Let A be a 2k-by-2k matrix with real entries such that det f;(A) = 0 for all j e {1,..., k.} Prove det A = 1. Letni,..., nk be pairwise relatively prime odd integers greater than 1. For i {1,...,k}, let f: (x) = m-12-1. Let A be a 2k-by-2k matrix with real entries such that det f;(A) = 0 for all j e {1,..., k.} Prove det A = 1