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Page 4 of 5. Perturbation of Subspaces. Let the full column rank matrix X E Rmxn have the Q-R factorization X - Qn where in

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Page 4 of 5. Perturbation of Subspaces. Let the full column rank matrix X E Rmxn have the Q-R factorization X - Qn where in m - n Q - Q1 22 ). Let X + 8X have the Q-R decomposition X +8X - vn n where n m - n V = V . V 2 Assume that nx - |(8X)X|2

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