Suppose the 4 by 4 matrix M has four equal rows all containing a, b, c, d. We know that
Chapter 4, Problem 4.2.35(choose chapter or problem)
Suppose the 4 by 4 matrix M has four equal rows all containing a, b, c, d. We know that det(M) = 0. The problem is to find det(I +M) by any method: det(I +M) = 1+a b c d a 1+b c d a b 1+c d a b c 1+d . Partial credit if you find this determinant when a = b = c = d = 1. Sudden death if you say that det(I +M) = detI +detM.
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