If `A`
is an invertible matrix
of order `3xx3`
such that `|A|=2`
. Then, find `a d j(a d jA)`
.
Text Solution
AI Generated Solution
To find \( \text{adj}(\text{adj} A) \) for an invertible matrix \( A \) of order \( 3 \times 3 \) with \( |A| = 2 \), we can follow these steps:
### Step 1: Understand the relationship between the adjoint and determinant
The adjoint of a matrix \( A \), denoted as \( \text{adj} A \), has a specific relationship with the determinant of \( A \). For an \( n \times n \) matrix, the determinant of the adjoint can be expressed as:
\[
|\text{adj} A| = |A|^{n-1}
\]
For our case, since \( A \) is a \( 3 \times 3 \) matrix, we have:
...
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