Q. ​If A is a 3 X 3 invertible matrix, then what will be the value of k if 
d e t A - 1 = d e t A k

Dear student
 detA-1=detAk ...1We know that A.A-1=IdetA.A-1=detIdetA.detA-1=detI   If A and B are square matrices of same order then detAB=detA.detBdetA-1=1detA   using detI=1detA-1=detA-1  ...2From 1 and 2 we getk=-1
Regards

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