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If A is a square matrix, then what is adj AT - (adj A)T equal to? 

If A is a square matrix, then what is adj AT - (adj A)T equal to?  Correct Answer Null matrix

Concept:

Let A be any square matrix. 

(adj AT) = |AT| (AT) -1 

(adj A)T = (|A| A-1 )T

(adj AT) = (adj A)T

Calculations:

Given, A is a square matrix.

Consider, (adj AT) - (adj A)T

= |AT| (AT) -1 - (|A| A-1 )T

= |A|T (AT) -1 - (|A| T(A-1 )T

= |A|T (A-1)T - (|A| T(A-1 )T

= 0

= Null Matrix

Hence, If A is a square matrix, then what is adj AT - (adj A)T equal to null matrix.

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যদি    A=5746  হয়, তবে A(Adj A) =? যেখানে Adj A হলো A এর সহগুণক ( adjoint ) ম্যাট্রিাক্স ।