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The number of all possible values of `theta`, where `0 lt theta lt pi`, for which the system of equations `(y+z)cos 3 theta =(xyz) sin 3 theta ,x sin 3 theta =(2cos3theta)/y+(2sin3theta)/z and (x y z)sin3theta=(y+2z)cos3theta+ysin3theta` have a solution `(x_0,y_0,z_0)` wiith `y_0 z_0 !=0` is

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RESONANCE-MATRICES & DETERMINANT-EXERCISE-3
  1. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

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  2. Let p be an odd prime number and Tp be the following set of 2 x 2 ma...

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  3. The number of all possible values of theta, where 0 lt theta lt pi, f...

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  4. Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-...

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  5. Let Ma n dN be two 3xx3 non singular skew-symmetric matrices such that...

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  6. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  7. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  8. Let a, b and c be three real number satisfying [a,b,c]|{:(,1,9,7),(,...

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  9. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  10. Let M be a 3xx3 matrix satisfying M |{:(,0),(,1),(,0):}|=|{:(,-1),(,2...

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  11. Let P=[a]"be a "3xx3 matrix and let Q=[b]=2^(i+j)a(i) "for" 1 lei, j l...

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  12. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

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  13. If the adjoint of a 3 xx 3 matrix P is [{:(,1,4,4),(,2,1,7),(,1,1,3):}...

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  14. For 3xx3 matrices Ma n dN , which of the following statement (s) is (a...

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  15. Let M be a 2 x 2 symmetric matrix with integer entries . Then , ...

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  16. Let m and N be two 3x3 matrices such that MN=NM. Further if M!=N^2 and...

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  17. Let Xa n dY be two arbitrary, 3xx3 , non-zero, skew-symmetric matrices...

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  18. Which of the following values of alpha satisfying the equation |(1+alp...

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  19. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

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  20. The total number of distinct x in R for which |[x, x^2, 1+x^3] , [2x,...

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