205sp11-final-review-solutions

205sp11-final-review-solutions - A5GFAEXAEEEE h eid ea fh...

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Unformatted text preview: A5GFAEXAEEEE h eid ea fh ie ie h ee i id e e b e f eh e d f h ea h5a eah i i i ea b eeha i eh e e ab e b e h i iha a e i ia b e h eea ad h e e ab e b e h eea ha a e i ia b e i h i i e e i ii d e b e f fh e a e ia ed i ed i a e ha h eb e a eh i b e h ee i ak ea g e i f b e f h e i ak ea a ieea f e fh e id ad eh e b e ih h e bk eda ik a aadg ad e e fa fe a d ee ha eed f h e d eh e e fea i : x 1 + 2 x 2- 3 x 3 = 1 2 x 1 + 4 x 2- 5 x 3 = 2 7 x 1 + 2 x 2- x 3 = 3 A e : x 1 = 1 3 , x 2 = 1 3 , x 3 = 0 . eh e e fea i : 2 x 1 + x 2- 8 x 3 = 3 x 1- 2 x 2- 5 x 3 = 5 x 1- 6 x 2- 3 x 3 = 3 x 1- 5 x 2 + x 3 = A e : x 1 = 3 t, x 2 = 2 t, x 3 = t F id h ed e e ia fh e f ig a ie a - 1- 8 1 1 4 2 1 A e : b 2 1- 2 2 1 1 1 1 1 2 A e : 12 - 1 2 1 1 4 2 1 2 A5GFAEXAEEEE A e :- 8 d - 1 2 2 1 4- 2 3 2 4 . A e :- 60 4 F id h e i e e fh e a i bracketleftbigg 4 2 1 1 bracketrightbigg . A e : A 1 = bracketleftbigg 1 / 2- 1- 1 / 2 2 bracketrightbigg . 5 F id h e i e e fh e a i A = 1- 1 2 2 10 1 4- 3 1 , ifa i e ee iY a ea e hd ih A e : A 1 = - 13 / 81 5 / 81 7 / 27- 2 / 81 7 / 81- 1 / 27 46 / 81 1 / 81- 4 / 27 . 6 eh e e fea i 1 2 2 2 1 3 1 x 1 x 2 x 3 = 1 2 A e : x 1 =- 2 , x 2 = 6 , x 3 =- 9 / 2 7 F id h e eh e f f bracketleftbigg 2 1 1 1 3- 2 bracketrightbigg i : bracketleftbigg 2 1 1 1 3- 2 bracketrightbigg bracketleftbigg 1- 2 3 1 3- 2 bracketrightbigg bracketleftbigg 1- 2 3 5- 5 bracketrightbigg bracketleftbigg 1- 2 3 1- 1 bracketrightbigg bracketleftbigg 1 1 1- 1 bracketrightbigg 8 F id h e i e e fh e a i bracketleftbigg 5 3 2 1 bracketrightbigg . A5GFAEXAEEEE A e : bracketleftbigg- 1 3 2- 5 bracketrightbigg ....
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205sp11-final-review-solutions - A5GFAEXAEEEE h eid ea fh...

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