Question: 2. Permutation matrices. Fix N > 2, and n 2 1. (a) Define what conditions a matrix M E M. (Zx ) must satisfy in

2. Permutation matrices. Fix N > 2, and n 2 1. (a) Define what conditions a matrix M E M. (Zx ) must satisfy in order to be called permutation matrix. (b) We want to show that if M is a permutation matrix then M is invertible and M-1 = M' (the transpose of M, denoted M', is defined by having entries M. J,i Maj, i.e., for every 1

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