math225_quiz_1

math225_quiz_1 - Xl -2X3 = -3 3XI -2X2 -4X3 = -9 Xl -4X2 +...

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SDLlAl\OtJ. Math 225: Quiz 1 1. Give an example of a matrix of the specified form (a) 3 x 3 skew-symmetric matr.ix. 1 S I, ,.. ~w - S J 0'Yi1'Yl C t-vl (,. A '" .- r A" to L l ("~ "Ill Wc- p rovod +h~ '1+ -I {) 3 rnlAS~ h4o\Ve ,!:el'b~ ql""j -1 -3 0 _---'c;I~.,~"" ,,, "41 (b) 4 x 4 'riangulart~kew-symmetric matrix. \u W~r -\ ) u () u 0 ---~ t'n4S+ \-'CoIV"(" -:Cerv'> OI\<J~J cli"'jQ"'~\ c'(o·,d (./ t. (.) () r 0'" V\pp~.r 1'";,,,,-\ i,.i"'\. ... ~-<, ':J",,+ 0150 ( c.' pi ,./ "1 J -..) \ A:: -AI SO IJJI. . h!i''''~ L () C 0 e'i 2. Let A = [~ll and B = [2 4], d~termine AB, and BA. Lv"<' C'" nneJ-t 1'1" '" Itil)}'j BAsI"" £ cilil1.rV 1 S"J'r< ';] ::"r~ ~\ - 2 -LI \ j I. // \ 3. Consider the system of linear equations:
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Unformatted text preview: Xl -2X3 = -3 3XI -2X2 -4X3 = -9 Xl -4X2 + 3X3 = 5 Solve the system using Gaussian-Elimination/ Gauss-Jordan Elimination. If a solution exists, show that your solution does indeed satisfy all three equations. s-d vp +"h""L OILAjfl'l-.:vd" <'I Yhl"tyiX' o \-3l - \ D i ~~ \ ~: 1 _ ~ \ ~ _ ~ -,2 \-0) ] -) I ~ 0, - L I Co> \ U j J J ~ Lv -'"I ) S t 0 -q ~3 t \2 2 ..,.::\ 1l1. t-\ ) \2 I 1-\2 '3 ~ \2 J, (-!,) 12 ,+\2.2 ~\22 'l¥.~ -\: P,-'1 y\ , . . '\ '\ r I') '\ ; , I \ () i \ ~. , I () :-'I !..~ o U \\~ , I \ ~ 1 U \ )(.; u 0 ~ (,) \ u 1 II 1. l) I ':, -L1 ( 'G ) +') l E. ):: I ~ -3 1. t 1. II :: 3 t -3 '2 ~' s, "" 1...
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This note was uploaded on 03/30/2010 for the course MATH 225 taught by Professor Guralnick during the Spring '07 term at USC.

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