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For a 3xx3 matrix A if |A|=4, then|Adj.A...

For a `3xx3` matrix A if `|A|=4, then|Adj.A|` is (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

A

`-4`

B

`4`

C

`16`

D

`64`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If P=[[1, alpha, 3], [1, 3, 3], [2, 4, 4]] is the adjoint of 3times3 m...

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  2. If A is a matrix of order 3 and |A|=8, then |adjA|=

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  3. For a 3xx3 matrix A if |A|=4, then|Adj.A| is (A) Both A and R are true...

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  4. If A is a square matrix of order 3 and |adjA|=25, then |A|=

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  5. If A is a square matrix of order 3 such that A^(-1) exists, then |adjA...

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  6. If A=[[a, 0, 0], [0, a, 0], [0, 0, a]], then |adjA|=

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  7. If A=[[a, 0, 0], [0, a, 0], [0, 0, a]], then |A||adjA|=

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  8. If A=[[3, 0, 0], [0, 3, 0], [0, 0, 3]], then |A||adjA|=

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  9. If A is a square matrix of order 3 and |A|=-2, then the value of the d...

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  10. If A=[[0, 1, -1], [2, 1, 3], [3, 2, 1]], then (A(adjA)A^(-1))A=

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  11. If for the matrix A, A^(3)=I, then A^(-1)=

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  12. If for the matrix A, A^(5)=I, then A^(-1)=

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  13. If A and B are square matrices of the same order and AB=3I, then A^(-1...

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  14. If A^(2)-A+I=0, then A^(-1)=

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  15. If A is a square matrix satisfying the equation A^(2)-4A-5I=0, then A^...

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  16. If A=[[3, 1], [-1, 2]] and A^(2)-5A+7I=0, then I=

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  17. If A is non-singular and (A-2I)(A-4I)=0, then (1)/(6)(A)+(4)/(3)(A^(-1...

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  18. If a matrix A is such that 3A^(3)+2A^(2)+5A+I=0, then its inverse is

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  19. If A is a non-singular matrix, such that I+A+A^(2)+… +A^(n)=0, then A^...

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  20. If A is an 3x3 non-singular matrix such that AA^(prime)-A^(prime)A a n...

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