SOLUTION: if A is a square matrix of order 3 such that |adjA|=36 then what is value of |A^T|

SOLUTION: if A is a square matrix of order 3 such that |adjA|=36 then what is value of |A^T|

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Question 1042632: if A is a square matrix of order 3 such that |adjA|=36 then what is value of |A^T|
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
We have the fundamental relation
,
where is the determinant of A.
===> ,
since A is of order 3. (The determinant was applied on both sides.)
===>,
===> ===> |A| = 6 or |A| = -6.
===> or , since .
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