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Solve the following systems of homogenou...

Solve the following systems of homogenous equations:
`{:(x+y-z=0),(3x-2y+4z=0),(5x+6y-5z=0):}`

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Solve the following systems of homogenous equations: {:(3x+y-2z=0),(...

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  2. Solve the following systems of homogenous equations: {:(x+2y-2z=0),(...

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  3. Solve the following systems of homogenous equations: {:(x+y-z=0),(3x...

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  4. The sum of three numbers is 6. If we multiply third number by 3 and ad...

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  5. The sum of three numbers-is 6. If we multiply the third number by 2 an...

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  6. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of...

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  7. Find area of the triangle with vertices at the point given in the fol...

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  8. Show that Delta={:|(x,p,q),(p,x,q),(q,q,x)| = (x-p)(x^2+px-2q^2)

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  9. If Delta= {:|(0,b-a,c-a),(a-b,0,c-b),(a-c,b-c,0)|, then show that Delt...

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  10. If x = -4 is a root of Delta= {:|(x,2,3),(1,x,1),(3,2,x)|=0, then find...

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  11. Show that the points (a+5,a-4),(a-1,a+3) and (a,a) do not lie on a str...

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  12. If A=[(3,1),(7,5)] , find x and y so that A^2 + xI-yA=0. Hence find A^...

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  13. Without expanding, show that the following determinants vanish: {:|(...

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  14. Prove that: {:|(a+b+nc,na-a,nb-b),(nc-c,b+c+na,nb-b),(nc-c,na-a,c+a+...

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  15. Prove that triangle = |[a+bx,c+dx,p+qx],[ax+b,cx+d,px+q],[u,v,w]| = (1...

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  16. If |[[x,2],[18,x]]|=|[[6,2],[18,6]]|, then x is equal to:

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  17. Let A be a square matrix of order 3 xx 3. Then I kA I is equal to :

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  18. Which of the following is correct

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  19. If area of triangle is 35 sq. units with vertices (2,-6), (5, 4) and (...

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  20. Let A be a non-singular matrix of order 3 xx 3. Then I adj. A I is equ...

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