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Newton's method can be used to com- pute the inverse of a nonsingular n n matrix A. If we define the function F:Rnxn Rnxn by F(X) I - AX, where X isan nx n matrix, then F(X)= 0 precisely when X A-1. Since F'(X) = A, Newion's meihod for solving ihis ea tion has the form Newton's method can be used to com- pute the inverse of a nonsingular n n matrix A. If we define the function F:Rnxn Rnxn by F(X) I - AX, where X isan nx n matrix, then F(X)= 0 precisely when X A-1. Since F'(X) = A, Newion's meihod for solving ihis ea tion has the form