HW6.EGM4313 - Page 348, problem 13: Real symmetric implies...

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Unformatted text preview: Page 348, problem 13: Real symmetric implies real eigenvalues ( 29 ( 29 18 , 18 , 9 9 18 2916 648 45 17 2 2 2 14 4 2 4 14 2 2 3 = =--- = +- +- =----- Page 348, problem 14: Real skew-symmetric implies pure imaginary eigenvalues with conjugates or zero. i 18 , 324 12 12 12 6 12 6 3 = =-- =------ Page 355, problem 9: ( 29 ( 29 ( 29 = = = = = ------ = = = = = = ----- = = = = = = ---- =- = =-- +- =- + +- =------- 2 3 , 2 3 60 40 24 9 6 18 15 10 42 : 45 3 5 , 3 5 24 40 24 9 30 18 15 10 6 : 9 2 1 , 1 2 42 40 24 9 66 18 15 10 30 : 27 45 , 9 , 27 45 9 27 27 1053 10935 15 40 24 9 39 18 15 10 3 1 3 2 3 2 1 3 2 1 3 2 1 2 1 3 3 2 1 3 2 x x x x Let x x x x x x x Let x x x x x x x Let x x x - = ---- --- = =-- 45 9 27 15 40 24 9 39 18 15 10 3 12 / 1 18...
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HW6.EGM4313 - Page 348, problem 13: Real symmetric implies...

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