s1_f03_sol

s1_f03_sol - Problem S1 Solutions 1.a x + y 2 z = 1 x + 4 y...

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Problem S1 Solutions 1.a 21 425 0 4 2 5 2 ( ) 0 25 4 36 5 xy z xyz x y z x y z xy +− = ++= +−= + + = + = += 2(3 6 5) 3(2 5 4) 32 2/3 ( 2 / 3 ) 5 31 1/3 1/2 0 1 y y x x x z z −+ = = = = = +− = = 1.b 11 21 1 4 2 5 . Subtract row 1 from row 2 11 10 0 3 4 6 . Subtract row 1 from row 3 03 46 00 11 1 z y x −−    = = =
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1.c 15 2 542 01 1 1 1/3 11 2 3 14 2 11 1 112 10 1 2 2/3 3 14 5 11 0 3 1 3 det ( ) ( ) ( ) xx yy zz abc d e f a ei fh b di fg c dh eg gh i −− == = = =   =− + 
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2.a 4227 32 5 34 42273 25 5 2 ( ) 7 1 3 5( 2) 571 3 23 3/2 2 1/2 3(3/2) 4 1 xyz xy z xy z x yz x yz x y y y x x z z ++= ++ = +− = + += + −= + = −+ = = = = = = 2.b 42 27 3 1 2 5 . Multiply row 1 by -3/4 and add to row 2 13 1 4 42 2 7 0 1/ 2 1/ 2 1/ 4 . Multiply row 1 by -1/4 and add to row 3 13 1 4 27 0 1/ 2 1/ 2 1/ 4 . Multiply row 2 by 5 and 05 / 2 3 / 2 9 / 4    ⇒− add to row 3 2 7 0 1/2 1/2 1/4 00 1 1 1 z y x = = =
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2.c 11 2 542 01 1 1 1/3 3 14 2 112 15 2 10 1 2 2/3 3 11 1 14 5 11 0 3 1 3 xx yy zz
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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s1_f03_sol - Problem S1 Solutions 1.a x + y 2 z = 1 x + 4 y...

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