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If A be any n xx n matrix and k any sca...

If A be any `n xx n` matrix and k any scalar, then detkA is equal to -

A

k detA

B

`n^(k)` detA

C

`k^(n)` detA

D

kn detA

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
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  2. If A=[(2,-1),(0,1)] and B=[(1,0),(-1,-1)] then (A+B)^(2) is not equal ...

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  3. If A be any n xx n matrix and k any scalar, then detkA is equal to -

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  4. The probability that in a year of 22nd century chosen at rendom, ther...

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  5. The probability that in a family of 5 members, exactly 2 members have...

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  6. A bag contains 5 white and 3 black balls and 4 balls are successively ...

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  7. The probability that A speaks truth is (4)/(5), while this probabili...

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  8. Three distinct numbers are selected from first 100 natural numbers. Th...

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  9. In a bolt factory three machines A, B and C manufacture respectively 2...

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  10. If x gt 0, then the value of sin[cot^(-1)cos(tan^(-1)x)] is equal to -

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  11. If theta=sin^(-1)[sin(-600^(@))], then one of the possible values of t...

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  12. If vectors vecalpha,vecbeta, vecgamma are such that vecalpha+vecbeta+...

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  13. If hati+hatj+hatk, 2hati +5hatj, 3 hati+2hatj-3hatk and hati-6hatj-h...

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  14. In the equation x^2-px+q=0 ratio of the roots are 2:3 ,then prove that...

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  15. If the probability that a randomly selected bulb produced by a factory...

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  16. If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+...

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  17. The direction cosines of the line which is perpendicular to the lines ...

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  18. The cosine of the angle between the lines vecr=3hati+2hatj-4hatk+lam...

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  19. The coordinates of the point of intersection of the lines vecr=(hati+...

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  20. The value of a for which the lines (x-5)/(5a+2)=(2-y)/(5)=(1-z)/(-1) ...

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