A is a square matrix with \left | A \right |= 4. Then find the value of \left | A\cdot \left ( adj A \right ) \right |.

 

 

 

 
 
 
 
 

Answers (1)

\left | A\cdot \left ( adj A \right ) \right |= \left | A \right | \left | adj A \right |= \left | A \right |\times \left | A \right |^{n-1}
                                                     = \left | A \right |^{n}= 4^{n},   where n is the order of matrix A.

n=2

= \left | A \right |^{2}= 4^{2}=16,

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