Find the matrix `A`
such that `|A|=2`
and `adj A=[(2, 2, 0),( 2, 5, 1),( 0, 1 ,1)]`
.
Text Solution
AI Generated Solution
To find the matrix \( A \) such that \( |A| = 2 \) and \( \text{adj} A = \begin{pmatrix} 2 & 2 & 0 \\ 2 & 5 & 1 \\ 0 & 1 & 1 \end{pmatrix} \), we can follow these steps:
### Step 1: Use the relationship between \( A \), \( \text{adj} A \), and \( |A| \)
We know that:
\[
A \cdot \text{adj} A = |A| \cdot I
\]
...
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