If `A=[[1,0,-1],[3,4,5],[0,-6,-7]]` , verify that
A.(adj A) = (adj A). A= |A|.I.

Explanation

To verify that \( A \cdot (\text{adj} A) = (\text{adj} A) \cdot A = |A| \cdot I \), we will follow these steps:

### Step 1: Calculate the Determinant of Matrix A
Given the matrix:
\[
A = \begin{bmatrix}
1 & 0 & -1 \\
3 & 4 & 5 \\
...