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  • Help me solve this - Matrices and Determinants - JEE Main

If A is a 2x2 matrix and \omega is cube root of unity then \left ( \omega A \right )^{*}=

  • Option 1)

    \omegaA*

  • Option 2)

    A*

  • Option 3)

    \omega^{2}A^*

  • Option 4)

    \omega^{3}A

 

Answers (1)

best_answer

As we learnt

 

Property of Transpose Conjugate -

 

\left ( KA \right )^{\Theta }= \overline{K}A^{\Theta }  

- wherein

A^{\Theta } is the conjugate matrix of A and  \overline{K} is conjugate of complex number K

 

 (\omega A)^{*}= \overline{\omega }A^{*}= \omega ^{2}A^{*}

 


Option 1)

\omegaA*

Option 2)

A*

Option 3)

\omega^{2}A^*

Option 4)

\omega^{3}A

Posted by

Himanshu

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