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Posted: **Wed May 11, 2022 10:12 pm**

: Problem 12 Let A Be A Real Symmetric N X N Matrix Consider The Optimisation Problem Max 27 Ax 1 Re Write T 1 (31.64 KiB) Viewed 26 times

Problem 12: Let A be a real symmetric n x n matrix. Consider the optimisation problem max{27 Ax : ||*|| = 1}. Re-write the constraint as ||2|| - 1 = 0 and show that an optimal solution of this problem must be an eigenvector of A. What can you say about the Lagrange multiplier.