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The factors of |[x,a,b],[a,x,b],[a,b,x]|...

The factors of `|[x,a,b],[a,x,b],[a,b,x]|`are

A

`x-a, x-b` and `x+a+b`

B

`x+a, x+b` and `x+a+b`

C

`x+a, x+b` and `x-a-b`

D

`x-a, x-b` and `x-a-b`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. The factors of |[1,1,1],[x,y,1],[x^2,y^2,1]|are

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  3. The factors of |[x,a,b],[a,x,b],[a,b,x]|are

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  4. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

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  5. |[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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  6. The value of [[a,b,c,d],[-a,b,c,d],[-a,-b,c,d],[-a,-b,-c ,d]] is

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  7. If A is a square matrix of order 3 and |A|=8, then |adj A|=

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  8. The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=

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  9. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

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  10. If 3^n is a factor of the determinant [[1,1,1],[n C(1),(n+3) C(1) ,(n+...

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  11. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

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  12. 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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  13. If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=...

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  14. If A=[[a , b] ,[ b , a]] A^(2)=[[alpha , beta] ,[ beta , a]] then

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  15. Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),...

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  16. Let A=[[0, 0 ,-1],[0,-1,0],[-1,0,0]]. The only correct statement about...

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  17. If A+B are square matrices of size nxxn such that A^(2) - B^(2) = (A-...

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  18. Let A = ((1,2),(3,4)) and B = ((a,0),(0,b)), a b in N . Then :

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  19. Let A= [[5,5 alpha, alpha],[0 ,alpha,5 alpha ],[0,0,5]] |A^(2)|=25, t...

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  20. Let A = [[1,2],[0,1]]. Then A^(n) =

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