hwsolB12

# hwsolB12 - HW 12 Solution _ m x1 x2 x3 x4 _ 1* 4 4 4 -2 2 2...

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Sheet1 Page 1 HW 12 Solution _____________ m x1 x2 x3 x4 ________________________________________ 1* 4 4 4 -2 2 2 0 2 -1 1 1 3 3 -1 1 3 1 2 ________________________________________ 1 4 4 4 0-6* -8-6 -1/2 0-3-1-1 -1/6 0-1-3-2 ________________________________________ 1 4 4 4 0-6 -8-6 0 0 3* 2 5/9 0 0-5/3 -1 ________________________________________ 1 4 4 4 0-6 -8-6 0 0 3 2 0 0 0 1/9 The last matrix is U. L = [ 1 0 0 0 2 1 0 0 1 1/2 1 0 1 1/6-5/9 1 ] (ii) We first solve L*Y = I (4x4 identity) m y1 y2 y3 y4 _________________________________________________________________________ 1* 0 0 0 1 0 0 0 -2 2 1 0 0 0 1 0 0 -1 1 1/2 1 0 0 0 1 0 -1 1 1/6-5/9 1 0 0 0 1 _________________________________________________________________________ 1 0 0 0 1 0 0 0 0 1* 0 0 -2 1 0 0 -1/2 0 1/2 1 0 -1 0 1 0 -1/6 0 1/6-5/9 1 -1 0 0 1 _________________________________________________________________________ 1 0 0 0 1 0 0 0 0 1 0 0 -2 1 0 0 0 0 1* 0 0 -1/2 1 0 5/9 0 0 -5/9 1 -2/3 -1/6 0 1

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## This note was uploaded on 03/21/2010 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.

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hwsolB12 - HW 12 Solution _ m x1 x2 x3 x4 _ 1* 4 4 4 -2 2 2...

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