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If |A| = 8, where A is a square matrix of order 3, then what is |Adj A| equal to?

If |A| = 8, where A is a square matrix of order 3, then what is |Adj A| equal to? Correct Answer 64

Concept:

If the matrix A is a square matrix of order n, then |Adj A| = | A|n - 1

Calculations:

Given, |A| = 8, where A is a square matrix of order 3.

We know that, if the matrix A is a square matrix of order n, then |Adj A| = | A|n - 1

Here n = 3 and |A| = 8

|Adj A| = 83 - 1

⇒|Adj A| = 82

⇒|Adj A| = 64

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