Hello. I need some help with one question about relationship of two matrices. The task: Suppose that I is identity matrix, u - is vector, u' is transposed vector, α - real number. It can be prove that inverse matrix of I+α*u*u' has similar form I+x*u*u'. The task is to find x. I tried to calculate inverse of this matrix I+α*u*u', but first of all when i dont know dimension it is very difficult to calculate inverse matrix. I tried to take example when u is from R^2, but even then i cant calculate x. Any help would be appreciate. Any hints or something else.