Homepage › Solution manuals › Gilbert Strang › Linear Algebra and Learning from Data › Exercise 3.1.7
y = M−1b = (A−1 + A−1U(I − V TA−1U)−1V TA−1) b = A−1b+A−1U(I−V TA−1U)−1V TA−1b = x+A−1U(I−V TA−1U)−1V Tx = x+Z(I−V TZ)−1V Tx = x+ZC−1V Tx = x+Zw