Question: Answer the question Let A be a real square matrix such that the matrix I +A is invertible. (i) Verify that the matrices A and

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Let A be a real square matrix such that the matrix I +A is invertible. (i) Verify that the matrices A and (I +A)_1 commute. Hint: Consider B :: 1+A. (ii) Assume that AT = A. Setting Q := (I A) (1+A)-1, conrm that QT Q = 1

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