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If A is a non-singular matrix of order 3...

If A is a non-singular matrix of order 3 and |A| = 4, then |Adj. A| equals

A

`8`

B

`12`

C

`16`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ACCURATE PUBLICATION-DETERMINANTS-Type-I (Multiple choice questions)
  1. If A is a non-singular matrix of order 3 and |A| = 3, then |Adj. A| eq...

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  2. If A is a non-singular matrix of order 3 and |A| = 2, then | adj A| eq...

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  3. If A is a non-singular matrix of order 3 and |A| = 4, then |Adj. A| eq...

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  4. If A is an invertible square matrix of order 4, then |adj. A| is equal...

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  5. If A is non-singular matrix of order 3 and |A|=5 then |adj.A| equals :

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  6. If A is a matrix of order 3xx3 and abs (A) = 10 then abs (adj. A) is

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  7. If A is a square matrix of order 3xx3 and abs(A) = 5 then abs (Adj. A)...

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  8. If A = ([2,1],[1,2]), then A (Adj A) equals :

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  9. If A=[{:(3,1),(1,2):}], then A(adjA) equals

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  10. If A = ([4,3],[3,4]), then A (Adj A) equals :

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  11. If A=[(3,2),(1,4)] , then A(adj A) equals

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  12. The inverse of a symmetric matrix is :

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  13. Prove that |[1,x,x^2-yz],[1,y,y^2-zx],[1,z,z^2-xy]|= 0

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  14. If x,y in R then the determinant Delta=|{:(cosx,-sinx,1),(sinx,cosx,1)...

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  15. If |(2x,5),(8,x)|=|(6,-2),(7,3)| , write the value of x.

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  16. The value of determinant |{:(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c):}| is

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  17. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

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  18. The determinant |{:(b^(2)-ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2)-ab),(bc-ca...

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  19. The number of distinct real roots of |{:(sinx,cosx,cosx),(cosx,sinx,co...

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  20. If A,B and C are angles of a triangle, then the determinant: {:|(-1,...

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