Problem #1 (20 points) - The Inverse of a Special Matrix Suppose that a is an n x 1 column matrix and that b is a 1 x n row matrix and that a b / 1. Prove that the n x n matrix defined by M =I- abT (where I is the n x n identity matrix) is invertible and compute its inverse. Hint: Assume that M- = I + dab where a is a scalar that you should determine