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If k gt1, and the determinant of the mat...

If `k gt1`, and the determinant of the matrix `A^(2)`, where `A=[(k,kalpha, alpha),(0,alpha, k alpha),(0,0,k)]` is `k^(2)` then `|alpha|=`

A

`k`

B

`k^(2)`

C

`1/k`

D

`1/(k^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
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  3. If k gt1, and the determinant of the matrix A^(2), where A=[(k,kalpha,...

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  4. If a!=6,b,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0 then abc

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  5. If a!=6,b,c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0 then abc

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  6. If f(x)=|(a,-1,0),(ax,a,-1),(ax^(2),ax,a)| then f(3x)-f(2x)=

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  7. If Delta=|(a,1,1),(1,b,1),(1,1,c)|gt0, then

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  8. If A is a 3xx3 matrix and det(3A)=k(detA) then k=

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  9. If the matrix [(x,4),(2,8)] is singular, then x=

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  10. If the matrix [(x,b,b),(1,1,1),(0,x,a)] is singular, then x=

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  11. If the matrix A=[(8,-6,2),(-6,7,-4),(2,-4,lamda)] is singular one, the...

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  12. If ((1,2,x),(4,-1,7),(2,4,-6)) is a singular matrix, then x=

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  13. If the matrix [(cos theta, sin theta, 0),(sin theta, cos theta, 0),(0,...

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  14. If Delta=|(1, sin theta, 1 ),(-sin theta, 1, sin theta),(-1 , -sin the...

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  15. If |(3x-8,3,3),(3,3x-8,3),(3,3,3x-8)|=0 then x=0

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  16. If |(x,2,7),(5,0 ,2),(3,-4,6)|=-180 then x=

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  17. If one of the roots of |(3,5,x),(7,x,7),(x,5,3)|=0 is -10, then the ot...

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  18. If x!=0 and |(1,x,2x),(1,3x,5x),(1,3,4)|=0 then x=

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  19. |(x+2,x+3,x+5),(x+4,x+6,x+9),(x+8,x+11,x+15)|=

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  20. If |(x+1,x+2,x+4),(x+3,x+5,x+8),(x+7,x+10,x+14)|=

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