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

Question: a. Use the result in Exercise 9 to show that if A1 exists and x, y Rn, then (A + xyt)1 exists if and

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

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

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