a Use the result in Exercise 9 to show that if A1 exists and x, y Rn, then (A xyt)1 exists if and only if ytA1x 1 b By multiplying on the right by A xyt, show that when ytA1 x 1 we have A lxy'A 1 y'A x (A xy') A ...

a b Since A exists we can write det A xy det A AAxyt det AI Axy det A det ...

a. Use the result in Exercise 9 to show that if A1 exists and x, y

Question:

a. Use the result in Exercise 9 to show that if Aˆ’1 exists and x, y ˆˆ Rn, then (A + xyt)ˆ’1 exists if and only if ytAˆ’1x ‰ ˆ’1.
b. By multiplying on the right by A + xyt, show that when ytAˆ’1 x = ˆ’1 we have

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 03:08 AM

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a. Use the result in Exercise 9 to show that if A1 exists and x, y

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A-lxy'A- 1+y'A-x (A + xy')- = A--

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a b Since A exists we can write det A xy det A AAxyt det AI Axy det A det...View the full answer

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