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If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),...

If `|(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3))|=(x-y)(y-z)(z-x){1/x+1/y+1/z}` then `k=`

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RESONANCE-MATRICES & DETERMINANT-HLP
  1. let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d))...

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  2. Let overset(to)(a(r))=x(r )hat(i)+y(r )hat(j)+z(r )hat(k),r=1,2,3 thre...

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  3. If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3)...

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  4. If the determinant |(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h)| splits ...

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  5. If a,b,c are all distinct and |[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^3,c^4-...

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  6. If a,b,c are comples number and z=|{:(,0,-b,-c),(,bar(b),0,-a),(,bar(c...

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  7. If f(x)=log(10)x and g(x)=e^(ln x) and h(x)=f [g(x)], then find the va...

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  8. If A=[{:(,1,a),(,0,1):}] then find lim(n-oo) (1)/(n)A^(n)

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  9. "Let" P=[{:(,"cos"(pi)/(9),"sin"(pi)/(9)),(,-"sin"(pi)/(9),"cos"(pi)/(...

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  10. Let A=[{:(,1,1,1),(,1,1,1),(,1,1,1):}] , B=[{:(,2,-1,-1),(,-1,2,-1),(,...

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  11. Let 'A' is (4xx4) matrix such that the sum of elements in each row is ...

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  12. Let A=[{:(,x+lambda,x,x),(,x,x+lambda,x),(,x,x,x+lambda):}]then prove ...

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  13. Let A be a nxxn matrix such thatA ^(n) = alpha A, where alpha is a ...

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  14. Let p and q be real number such that x^(2)+px+q ne0 for every real num...

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  15. Let A,B,C be three 3 xx 3 matrices with real enteries. If BA+BC+AC=1, ...

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  16. If |z(1)|=|z(2)|=1"then prove that" [{:(,z(1),-z(2)),(,bar(z)(2),bar(z...

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  17. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)...

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  18. A=[(a,1,0),(1,b,d),(1,b,c)],B=[(a,1,1),(0,d,c),(f,g,h)],U=[(f),(g),(h)...

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  19. If the system of equations x=cy+bz, y=az+cx and z=bx+ay has a non-zero...

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  20. IfD=d i ag[d1, d2, dn] , then prove that f(D)=d i ag[f(d1),f(d2), ,f(...

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