If A is a square matrix of order 3 such that `|A|=2`
, then write the value of `a d j(a d jA)`
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AI Generated Solution
To find the value of \( a \, \text{adj}(\text{adj} A) \) given that \( |A| = 2 \) and \( A \) is a square matrix of order 3, we can follow these steps:
### Step 1: Understand the properties of adjoint matrices
The adjoint of a matrix \( A \), denoted as \( \text{adj} A \), has a property that relates it to the determinant of \( A \). Specifically, for a square matrix \( A \) of order \( n \):
\[
\text{adj} A = |A|^{n-1} A^{-1}
\]
For a 3x3 matrix, this becomes:
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