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Let A be a square matrix of order 3xx3, ...

Let A be a square matrix of order `3xx3`, then `|k A|`is equal to(A) `k|A|` (B) `k^2|A|` (C) `K^3|A|` (D) `3k |A|`

A

`k|A|`

B

`k^(2)|A|`

C

`k^(3)|A|`

D

`3k|A|`

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-DETERMINANTS-OBJECTIVE TYPE QUESTIONS (Multiple choice question)
  1. Evalute the determinants in queations 1 and 2 : If |{:(x,2),(18,x):}...

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  2. Let A be a square matrix of order 3xx3, then |k A|is equal to(A) k|A|...

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  3. Which of the following is correct ?

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  4. If area of triangle is 35 sq units with vertices (2, - 6), (5, 4) a n ...

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  5. If A=[{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)):}]...

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  6. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

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  7. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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  8. Choose the correct answer in questions 17 to 19: If a, b, c are in ...

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  9. Choose the correct answer If x, y, z are nonzero real numbers then th...

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  10. Let A=[(1,sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], w...

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  11. If |(2x,5),(8,x)|=|(6,-2),(7,3)| then the value of x is

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  12. Let Delta(1)=|{:(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1):}| and Delta(2)...

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  13. If x , y in R , then the determinant =|cosx-sinx1sinxcosx1cos(x+y)-si...

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  14. If the area of a triangle with vertices (-3,0),(3,0) and (0,0 is 9 sq....

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  15. If A,B and C are angles of a triangle then the determinant |(-1,cosC...

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  16. If A is a sqaure matrix of order 3xx3 and |A|=5, then |adj.A| is

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  17. The value of 'x' for which |{:(3,x),(x,1):}|=|{:(3,2),(4,1):}| is

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  18. Evalute the determinants in queations 1 and 2 : If |{:(x,2),(18,x):}...

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  19. If A is a matrix of order 3xx3 and |A|=10 , then |adj.A| is

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  20. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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