[c+ca,(" ख) "0],[," (घ) "abc,ddots],[,,],[" एक घनमूल हो,तो सारिषि ",w^(4),w^(8),*1],[,,,],[,,],[,,,],[,,]

Which of the following is a non singular matrix? (A) [(1,a,b+c),(1,b,c+a),(1,c,a+b)] (B) [(1,omega, omega^2),(omega, omega^2,1),(omega^2,1,omega)] where omega is non real and omega^2=1 (C) [(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)] (D) [(0,2,-3),(-2,0,5),(3,-5,0)]

Which of the following is a non singular matrix? (A) [(1,a,b+c),(1,b,c+a),(1,c,a+b)] (B) [(1,omega, omega^2),(omega, omega^2,1),(omega^2,1,omega)] where omega is non real and omega^3=1 (C) [(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)] (D) [(0,2,-3),(-2,0,5),(3,-5,0)]

Which of the following can be the valid assignment of probability for outcomes of sample space, S = {W_(1), W_(2), W_(3)}, {" where " W_(1), W_(2) " and " W_(3) are mutually exclusive events Assignment {:(,w_(1),w_(2),w_(3)),((a),0.4,0.2,0.8),((b),0,0,1),((c),-1/2,3/4,1/2),((d),1/2,1/2,1/4):}

Which of the following can be the valid assignment of probability for outcomes of sample space, S = {W_(1), W_(2), W_(3)}, {" where " W_(1), W_(2) " and " W_(3) are mutually exclusive events Assignment {:(,w_(1),w_(2),w_(3)),((a),0.4,0.2,0.8),((b),0,0,1),((c),-1/2,3/4,1/2),((d),1/2,1/2,1/4):}

[W_(1),W_(2),W_(3)" are apparent "],[" weights of a solid in water at "],[0^(0)C,4^(0)c" and "50^(0)c],[" respectively.If expansion of "],[" solid is negligible,then "],[" A) "W_(1)=W_(2)=W_(3)],[" B) "W_(1)>W_(2)>W_(3)],[" C) "W_(3)>W_(1)>W_(2)],[" D) "W_(3)>W_(2)>W_(1)]

Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0 . If a=2 with b and c satisfying [abc][{:(1,9,7),(2,8,7),(7,3,7):}]=[0,0,0] , then the value of 3/omega^(a) + 1/omega^(b) + 1/omega^( c) is equal to

Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0 . If a=2 with b and c satisfying [abc][{:(1,9,7),(2,8,7),(7,3,7):}]=[0,0,0] , then the value of 3/omega^(a) + 1/omega^(b) + 1/omega^( c) is equal to

If omega is cube root of unit,then value of | omega^(1)quad omega^(4)quad omega^(8) determinant det[[omega^(1),omega^(8),omega^(8)omega^(4),omega^(8),1omega^(8),1,omega^(4)]] is

Let w be the 7^(th) root of unity then log_(3)|1+w+w^(2)+w^(3)+w^(4)+w^(5)-(8)/(w)|=

If 1, omega and omega^(2) are the cube roots of unity evaluate (1-omega^(4)+omega^(8))(1-omega^(8)+omega^(16)) .