Prove Kahan's Theorem 7.24. [Hint: If 1, . . . , n are eigenvalues of T, Since

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Prove Kahan's Theorem 7.24. [Hint: If λ1, . . . , λn are eigenvalues of Tω,
det Te

Since det Dˆ’1 = det(D ˆ’ ωL) ˆ’1 and the determinant of a product of matrices is the product of the determinants of the factors, the result follows from Eq. (7.18).]

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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