a) Consider the NxN-dimensional invertible matrix A and the N-dimensional (column) vector u. Prove that b) Consider the matrix (A + uu¹)−¹ = A¯¹ -1 - A-¹uu¹A-¹ 1+ u¹A−¹u A = [a b] with a, b, c and d real-valued numbers. Under which condition(s) for a, b, c and d is the matrix A indefinite ?

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