I T t r9. 50 Given the following set of simultaneous equations, what is the de- terminant D of the system? I I I y- z ll): 2 x- :6 2x* 4y-32 3y-42 2w:-l I -2x -3 *42 + 3w: -l -l -l -l -l (l) I 2 I t t'-(:l -3 2 4 6 2 4-30 ,t -4 -l 0 3 0 3-4*2 -204-3' -2 043 t -r -I -l -l -l (2) (4) r 2 2 -3 2460 6 4 0 T -t -2 -l 0 3 3-4-2 a -2033 J 043 F values y 20.The of the unknowns, x and in the set of simultaneous equa- T tions in l9 are Question - -l -2,t = = : -2 (l) y (3) x 2, x - -l,y : (2) : : x 2 x 2, 3 -t4) I | (5) None, since the is determinant equal to zero. Which 21. one of the following fourth-crder t determinants is noi equiv- alent to the other four? I (l) 89 64 -3 75 8 l.ql: t -l -10 2 4 -r2 -24 6 30 I -l (2) 8 7 6 I 9 5 2-r2 tAt: 6-3 4-24 t -10 4 8 30 0(3) A 6l) 6 51 7 ta -3 8 l.dl A -l 0 -10 + 1A -L- 60 30 (4) -12 -24 6 30 -3 7 5 8 : I.q I Gt) -t _t0 2 4 8 9 64 (5) .,) 8 e -g-' 7 _3 5 4 (2)(2) tAl: la L- -5 -6 3 _12 IJ 22. Which of the determinants in 2l Question would have a solution . equal to zero? (Choose your answer from the choices given for 21.) Question 23' Find the varue of the foilowing fifth-order determinant: 01000 -2 2 -4* g "5 1t : z -r I.ql / _l 5 5 -l 3 :10 0 _t2 -2 _t4 4 _14 3 -80 (t) (3) 80 -160 (5) (6) 160 -120 (2) (4) 120 24' Find the varue of the forowing fifth-order determinant: _55 35 90 0 40 _22 14 27 0 16 t.dl -7 _1t _9 _8 18 2t 33 018 24 -28 33 0 6_32 (cont'd)-jr6 - (t) (3) (5) 52 Zero 48 (7) 16 -78 -48 -8 (2) (4) (6) (8) None of the above are correct. 25.Find the value of the followine fourth-order determinant: -j4 -2+j5 jI 2 -jr -2 j4 s-js lel: -t jI j3 6-j7 j2 j2 2 t4+j7 (Chooseyour answer from the choices for 24.) Question 26.Find thevalue of the foliowine fourth-order determinant: ' 7a3 3a2 2a 7 +2laa I2 l5a 3 36a = l.ll 6a 5a2 a 18a2 +3a ^t 4a2 + d'- 5a3 + 4a a2 l2a3 + 5A- -5 -5a'? - (l) 105a2 (3) (5)...
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