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If A is a 3xx3 non -singular matrix such...

If A is a `3xx3` non -singular matrix such that `AA^(T) =A^(T) A and B = `A^(-1) A^(T)` then `BB^(T)` =

A

A

B

B

C

`I_(3)`

D

`B^(T)`

Text Solution

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The correct Answer is:
C
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NCERT TAMIL-APPLICATIONS OF MATRICES AND DETERMINANTS-EXERCISE 1.8
  1. If |adj(adj A) | = | A|^(9) then the order of the square matrix A is

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  2. If A is a 3xx3 non -singular matrix such that AA^(T) =A^(T) A and B = ...

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  3. If A= [(3,5),(1,2)] , B = adj A and C = 3A then (|adj B|)/(|C|)=

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  4. If A [(1,-2),(1,4)]= [(6,0),(0,6)] then A =

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  5. If A= [(7,3),(4,2)] then 9I(2)-A=

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  6. If A = [(2,0),(1,5)] and B = [(1,4),(2,0)] then |adj (AB)|=

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  7. If P = [(1,x,0),(1,3,0),(2,4,-2)] is the adjoint of 3xx3 matrix A and ...

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  8. If A = [(3,1,-1),(2,-2,0),(1,2-1)] and A^(-1) =[(a(1),a(12),a(13)),(a(...

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  9. If AB , and C are invertible matrices of some order, then which one of...

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  10. If (AB)^(-1) = [(12,-17),(-19,27)] and A^(-1) =[(1,-1),(-2,3)] then B^...

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  11. If A^(T) A^(1) is symmetric then A^(2) =

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  12. If A is a non-singular matrix such that A^(-1) =[(5,3),(-2,-1)] then ...

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  13. If A = [((3)/(5),(4)/(5)),(x,(3)/(5))] and A^(T)=A^(-1) then the value...

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  14. If A= [(1, tan""(theta)/(2)),(-tan ""(theta)/(2),1)] and AB =I(2) th...

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  15. If A= [(cos theta, sin theta),(-sin theta, cos theta)] and A (adj A) =...

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  16. If A = [(2,3) ,(5,-2)] be such that lambdaA^(-1) =A then lambda is

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  17. If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

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  18. The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is

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  19. If x^(a)y^(b)=e^(m),x^(c ) y^(d)=e^(n), Delta(1)= |(m,b),(n,d)|,Delta(...

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  20. Which of the following is/are correct? (i) Adjoint of a symmetric ma...

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