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  • Help me please, - Matrices and Determinants - JEE Main-4

If A^T = B; then (adj A)^T =

  • Option 1)

    adj B^{-1}

  • Option 2)

    (B^{-1})^T

  • Option 3)

    adj B^T

  • Option 4)

    adj B

 

Answers (1)

best_answer

As we have learnt,

 

Property of adjoint of A -

\left ( adjA \right )^{T}=adj\left ( A^{T} \right )

- wherein

adj A is adjoint of A and A^{T} is transpose of A

 

 Since,

(adj A)^T = adj(A^T) = adjB

 


Option 1)

adj B^{-1}

Option 2)

(B^{-1})^T

Option 3)

adj B^T

Option 4)

adj B

Posted by

gaurav

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