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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is
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- The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are
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- If a+b+c=0 , one root of : |(a-x,c,d),(c,b-x,a),(b,a,c-x)|=0 is :
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- The non zero value of x, if |[-x,1,0],[1,-x,1],[0,1,-x]|=0 is
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- The factors of |[1,1,1],[x,y,1],[x^2,y^2,1]|are
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- The factors of |[x,a,b],[a,x,b],[a,b,x]|are
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- If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...
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- |[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(...
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- The value of [[a,b,c,d],[-a,b,c,d],[-a,-b,c,d],[-a,-b,-c ,d]] is
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- If A is a square matrix of order 3 and |A|=8, then |adj A|=
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- The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=
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- The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is
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- If 3^n is a factor of the determinant [[1,1,1],[n C(1),(n+3) C(1) ,(n+...
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- The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :
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- If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,...
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- If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=...
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- If A=[[a , b] ,[ b , a]] A^(2)=[[alpha , beta] ,[ beta , a]] then
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- Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),...
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- Let A=[[0, 0 ,-1],[0,-1,0],[-1,0,0]]. The only correct statement about...
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- If A+B are square matrices of size nxxn such that A^(2) - B^(2) = (A-...
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