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

The sum of three numbers is 6. If we multiply the third number 2 and add the first number to the result, we get 7. Be adding second and third numbers to three times the first number we get 12. Use determinants to find the numbers.

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If f(x)=a x^2+b x+c is a quadratic function such that f(1)=8,f(2)=11 a...

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  2. The sum of three numbers is 6. If we multiply the third number 2 and ...

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  3. For what values of a and b , the following system of equations is cons...

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  4. Determine the values of lambda for which the following system of equat...

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  5. Using determinants, show that the following system of linear equation ...

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  6. By using determinants, solve the following system of equations: x+y+z=...

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  7. Solve the following system of equations by using determinants: x+y+z=1...

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  8. Using Cramers rule, solve the following system of linear equations: (...

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  9. If |[a, p, x],[ b, q, y], [c, r, z]|=16 , then the value of |[p+x, a+x...

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  10. The value of |1 1 1^n C1^(n+2)C1^(n+4)C1^n C2^(n+2)C2^(n+4)C2| is

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  11. Solve the following system of homogeneous equations: x+y-z=0 x-2y+...

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  12. For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y...

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  13. If x , y , z are different from zero and |[1+x,1, 1],[1 , 1+y ,1],[ 1...

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  14. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

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  15. If [] denotes the greatest integer less than or equal to the real numb...

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  16. Let |(3,y), (x,1)|=|(3,2), (4,1)| . Find possible values of x and y ar...

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  17. If |[x-2,-3],[3x,2x]|=3 find the value of x

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  18. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

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  19. Find the minors and cofactors of elements of the matrix A=[a(i j)]=[[1...

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  20. Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by two methods

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