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If x , y , z are different from zero an...

If `x , y , z` are different from zero and `|[1+x,1, 1],[1 , 1+y ,1],[ 1 ,1, 1+z]|=0` then the value of `x^(-1)+y^(-1)+z^(-1)` is (a) `x y z` (b) `x^(-1)y^(-1)z^(-1)` (c) `-x-y-z` (d) `-1`

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
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  2. For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y...

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

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

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

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

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

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

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

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

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

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  19. Prove the identities: |[a, b-c,c-b],[ a-c, b, c-a],[ a-b,b-a, c]| =(...

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