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# 2009501436_ìœ ê´‘ì„ _hw#3

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Unformatted text preview: Home Work. #3 Problem Set 1.7 1.7.6) Verify max 1 ( ) (3 5) 2 T A A λ = + and its sqeare root 1 (1 5) 2 A = + . Sol) 1 1 1 , 0 1 1 1 T A A = = 1 1 1 2 T A A = eigen value è ° ª 1 1 1 2 T A A λ λ- = - det( ) (1 )(2 ) 1 T A A λ λ =--- = ¡ . 1 (3 5) 2 λ = ± ≠ ♠ max min 1 1 (3 5) , (3 5) 2 2 λ λ = + =- 1.7.18) Compute T A A and T AA and their eigenvalue and unit eigenvector for 1 1 0 1 1 A = Sol) 1 1 1 2 1 1 1 T A A = and 2 1 1 2 T AA = T A A 3,1,0 eigenvalue = , 1 1 1 2 1 1 1 1 eigenvector-- = -- - 2009-03-25 Home Work. #3 1 1 1 6 2 3 1 1 6 3 1 1 1 6 2 3 unit eigenvector --- = -- - T AA A 3,1 eigenvalue = , 1 1 1 1 eigenvector-- = - 1 1 2 2 1 1 2 2...
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2009501436_ìœ ê´‘ì„ _hw#3

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