Question: (a) Prove that if A is symmetric and tridiagonal, then all matrices Ak appearing in the Q R algorithm are also symmetric and tridiagonal. First

(a) Prove that if A is symmetric and tridiagonal, then all matrices Ak appearing in the Q R algorithm are also symmetric and tridiagonal. First prove symmetry.
(b) Is the result true if A is not symmetric-only tridiagonal?

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a By induction if A k Q k R k R T k Q T k A T k then since Q k is orthogonal A T k1 R k Q k T Q T k ... View full answer

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