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Unformatted text preview: compute the condition number by hand. However, you are still allowed to use a calculator for scalar multiplications. (a) [1pt] Find the condition number of the following matrix: A = 1 1 1 . 011. 9911 . (b) [1pt] Given A ~x = ~ b ﬁnd ~x = [ x 1 ,x 2 ,x 3 ] T where: i) ~ b = [1 ,1 , 1] T and ii) ~ b = [1 . 01 ,. 99 , 1 . 01] T and discuss your results in relation to the condition number computed in (a). (c) [1pt] Find the condition number of the following matrix: A = 32 11 4 1 2 5 3 . (d) [1pt] Given A ~x = ~ b ﬁnd ~x = [ x 1 ,x 2 ,x 3 ] T where: i) ~ b = [1 ,1 , 1] T and ii) ~ b = [1 . 01 ,. 99 , 1 . 01] T and discuss your results in relation to the condition number computed in (c). 2...
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This note was uploaded on 11/14/2011 for the course EAME 250 taught by Professor Lee during the Spring '11 term at Case Western.
 Spring '11
 LEE

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