Math 204_Final_April_2014 - M,cl.e(rl'l E tr CONCORDIA...

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M,cl/.e(rl\ �:; :!'}l E tr!- CONCORDIA UN -IVERSITY Department of Mathematics & · Statistics Course l\,1athematics Examination Fir1al Special Instructio11s Number 204 Da te · _April 2014 t> t> t> Only approved calculators are allowed. Justify all your a11Swers. All ·questions have equal valt1e. Section(s) All Pages 2 Course Examiner ' 1. Usi11g tl1e Gauss-Jordan method, find all solutions of the following system of equations: X1 + X2 2x1 + 3x2 5x1 + 7x2 + 3x4 = 4 2. Let lvf = 1 1 2 2 -1 4 3 1 7 and B= 1 0 2 3 1 4 (a) . (b) Calcttlate M- 1 . Find the matrix C sucl1 tl1at Jvf C = B. -- v � _, \._. c_:__:;�lv\ -- �' _:;.(:, :;..--- J ( - - --- - 3. ( a) Use Cra1ner's rttle to solv� tl1e followi11g system: ( b ) Fi11d the determinant of A == 2x + y 5x + 2y 3x y 1 0 1 -2 1 1 3 0 1 4 7 2 3z - 1 6z 5 4z 7 Wow 3 fo G � c'K l.�<; ..J 1?l v ¥ ' · r; cJ�ok' {Y'�)W - 4 1 5 6 + e,t' '' -" v-)0.. d. \ s .){

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