Question
Let A be a square matrix. Show that if A^2 = 0, then I - A is invertible and (I - A)^-1 = I +
Let A be a square matrix.
Show that if A^2 = 0, then I - A is invertible and (I - A)^-1 = I + A.
Show that if A^3 = 0, then I - A is invertible and (I - A)^-1 = I +A+A2.
If A^n = 0 for some n 4, is I - A invertible?
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An Introduction to the Mathematics of Financial Derivatives
Authors: Ali Hirsa, Salih N. Neftci
3rd edition
012384682X, 978-0123846822
