Question

If A is a square matrix of order 4 and the value of |A| is equal to 2. Then the value of |Adj(A)| is,

• A. (a) 8
• B. (b) 16
• C. (c) 2
• D. (d) $\sqrt{2}$

Answer 1

The correct option is A (a) 8

This is one of the property of adjoint of a matrix. If for a matrix M of order n the determinant |M| is known, then the value of |Adj(M)| would be given by,

|( |Adj(A)| = $|M{|}^{n-1}$

So here,

$|Adj\left(A\right)|=|A{|}^{4-1}=2^3=8.$