Compute the adjoint of the matrix A given by `A=[[1, 4, 5],[ 3 ,2, 6],[ 0 ,1, 0]]`
and verify that `A(a d jA)=|A|I=(adjA)A`
Text Solution
AI Generated Solution
To compute the adjoint of the matrix \( A \) and verify the relationship \( A \cdot \text{adj}(A) = |A|I = \text{adj}(A) \cdot A \), we will follow these steps:
### Step 1: Define the Matrix
Given the matrix \( A \):
\[
A = \begin{bmatrix}
1 & 4 & 5 \\
3 & 2 & 6 \\
...
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