indetifying conditions for vectors

[akerman]

Hi there, I have been given a question which gives me that: (I - ab^T) which are member or reals ^n*n. I is identity. a and b are vectors. Can any one provide me with the answer of how to show the conditions on a and b does the inverse have the form I + ab^T ?

Thanks

 

[stapel]

Hi there, I have been given a question which gives me that: (I - ab^T) which are member or reals ^n*n. I is identity. a and b are vectors. Can any one provide me with the answer of how to show the conditions on a and b does the inverse have the form I + ab^T ?

Please provide the exact text of the exercise. (If you're translating the question from another language, please provide the text in the original language, along with what that language is.) Thank you!

 

[akerman]

This is an English question, perhaps it should say. What condition vectors a and b have to have in order to get inverse equal to I + ab^T. And the original equation is I - ab^T where I is identity matrix and a & b are vectors.