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Solve the following system of homogeneou...

Solve the following system of homogeneous equations: `x+y-z=0` `x-2y+z=0` `3x+6y-5z=0`

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If |[a, p, x],[ b, q, y], [c, r, z]|=16 , then the value of |[p+x, a+x...

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

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

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

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

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

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

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

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

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

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

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  13. If A=[1 3 2 1] , find the determinant of the matrix A^2-2Adot

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  14. Determine the values of x for which the matrix A=[(x+1,-3 ,4),(-5,x+2,...

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  15. The value of the determinant |[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y...

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  16. The number of distinct real roots of |(cosecx,secx,secx),(secx, cosecx...

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  17. Let f(x)=|[cosx , x , x] , [2sinx , x , 2x] , [sinx , x , x]|, then ...

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  18. A triangle has its three sides equal to a , b and c . If the coordina...

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  19. Solve the following system of equations using Cramers rule. 5x-7y+z=1...

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  20. Let A=|(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)|, where ...

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