Recent content by isa_vita

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    Can (I+A)^-1 be simplified to I+A/2 in linear algebra?

    Hi oli4e, my mistake, I mean prove not solve. I gave full text of the exercise(in my translation :)). I know for a zero solution, but it isn't the task. I think it is right HallsofIvy. It is a technical error. Thanks for a help. Cheers...
  2. I

    Can (I+A)^-1 be simplified to I+A/2 in linear algebra?

    I mean with this (I+A)^-1, inverse of the matrix (I + A). You have understood correctly. As I tried to solve the problem I came to the same answer. Perhaps there is a technical error, but I'm not sure. Thanks for answer.
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    Can (I+A)^-1 be simplified to I+A/2 in linear algebra?

    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 ?