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A is a square matrix n*n with the following properties: A*A=A and A not equal I (identity matrix).
How to prove the following equation:
(I+A)^-1=I+A/2 ?
How to prove the following equation:
(I+A)^-1=I+A/2 ?
That's exactly what I did- and did NOT get the identity matrix.Assuming that the inverse even exists why not just multiply both sides by (I + A) and collect terms? (Remember I'm assuming that the inverse of this exists which it may not, since I haven't checked it).