Question: (a) How many arithmetic operations (multiplications/divisions and additions/subtractions) are required to place a generic n x n symmetric matrix into tridiagonal form? (b) How many

(a) How many arithmetic operations (multiplications/divisions and additions/subtractions) are required to place a generic n x n symmetric matrix into tridiagonal form?
(b) How many operations are needed to perform one iteration of the Q R algorithm on an n × n tridiagonal matrix?
(c) How much faster, on average, is the tridiagonal algorithm than the direct Q R algorithm for finding the eigenvalues of a symmetric matrix?

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a Starting with a symmetric matrix A A 1 for each j 1 n 1 the tridiagonalization algorithm produces a symmetric matrix A j1 from A j as follows We fir... View full answer

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