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  • How to solve this problem- - Matrices and Determinants - JEE Main-4

If A*=B and \overline{B}= C, then what will be relation between A and C?

  • Option 1)

    A=C'

  • Option 2)

    A=\overline{C}

  • Option 3)

    C=A'

  • Option 4)

    C=\overline{A}

 

Answers (1)

best_answer

As we learnt 

 

Property of Transpose Conjugate -

\left ( A^{\Theta } \right )^{\Theta }= A

- wherein

A^{\Theta } is the conjugate matrix of A

 

 

 

Since   B=A^{*}= \overline{\left ( A' \right )}

\therefore C= \overline{B}=\left (\overline {\overline{A{}'}} \right )= A'


Option 1)

A=C'

Option 2)

A=\overline{C}

Option 3)

C=A'

Option 4)

C=\overline{A}

Posted by

Himanshu

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