Question: Please answer the question (1.2.41) EXERCISE. Assuem that A e Rnxn is SPD and B E Rnxm is of full-rank. Prove that the following preconditioned

Please answer the question

(1.2.41) EXERCISE. Assuem that A e Rnxn is SPD and B E Rnxm is of full-rank. Prove that the following "preconditioned matrix" (with S' = BA-1BT): -1 A BT B 0 only has three distinctive eigenvalues: 1, (1 + v5)/2. Determine the multiplicity of these eigenvalues

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