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The sum of three numbers is 6. If we mul...

The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number. Represent it algebraically and find the numbers using matrix method.

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Which of the following is correct

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

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

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  20. Select the Correct Option If A is an invertible matrix of order 2, the...

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