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If "Delta"r=|[2^(r-1),2. 3^(r-1),4. 5^(r...

If `"Delta"_r=|[2^(r-1),2. 3^(r-1),4. 5^(r-1)],[x, y ,z],[2^n-1, 3^n-1, 5^n-1]|` Show that `sum_(r=1)^n"Delta"_r`= Constant

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If Delta_r=|[2^(r-1) , 2.3^(r-1) , 4. 5^(r-1)] , [x , y , z] , [2^n-1 , 3^n-1 , 5^n-1]|dot Show that sum_(r=1)^n Delta_r=Con s t a n t

If Delta_r =|[2^(r-1) ,2.3^(r-1), 4.5^(r-1)],[alpha,beta,gamma],[2^n-1, 3^n-1, 5^n-1]| , then find the value of Delta

Let Delta_r=|[r , x , (n(n+1))/2] , [2r-1 , y , n^2] , [3r-2 , z , (n(3n-1))/2]|dot Show that sum_(r=1)^n Delta_r=0

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Evaluate: sum_(r=1)^n(3^r-2^r)

ALLEN-DETERMINANTS-All Questions
  1. about to only mathematics

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  2. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  3. If "Delta"r=|[2^(r-1),2. 3^(r-1),4. 5^(r-1)],[x, y ,z],[2^n-1, 3^n-1, ...

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  4. If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...

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  5. about to only mathematics

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  6. Solve the following sets of equation using Cramer’s rule and remark...

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  7. Solve the following sets of equation using Cramers rule and remark a...

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  8. Determine for that values of lambda and mu the following system of eq...

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  9. Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...

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  10. Let alpha1,alpha2 and beta1, beta2 be the roots of the equation ax^2+b...

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  11. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

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  12. If a^2+b^2+c^2=1 then show that value of the determinant |a^2+(b^2+c^2...

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  13. Using the properties of determinants, find the value of | 0 a -b ...

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  14. Find the value of the determinant |"cos"(x-y)"cos"(y-z)"cos"(z-x)"cos"...

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  15. If SS(r)=alpha^(r)+beta^(r)+gamma^(r)"then show that "=[{:(,S(0),S(1),...

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  16. If a x1 2+b y1 2+c z1 2=a x1 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d\ a...

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  17. If ∣ x - 2 -3 3x 2x ∣ =3, find the negative of integer va...

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  18. If x,y and y are not all zero and if ax+by+cz=0,bx+cy+az=0 and cx...

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  19. Prove that the system of equations in xa +y+z=0 , x +by +z=0 ,...

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  20. If a^2+b^2+c^2=-2\ a b n df(x)=|1+a^xx(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1...

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