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7 Mar 2022
Let N be a n x n matrix. If N^2 = 0, show that I_n - N is invertible and (I_n -N)^-1 = I_n + N. If N^3 = 0, show that I_n - N is invertible and (I_n)^-1 = I_n + N +N^2. Using part (b), find the inverse of A = (100 210 -131).
Let N be a n x n matrix. If N^2 = 0, show that I_n - N is invertible and (I_n -N)^-1 = I_n + N. If N^3 = 0, show that I_n - N is invertible and (I_n)^-1 = I_n + N +N^2. Using part (b), find the inverse of A = (100 210 -131).
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9 Mar 2022
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