Let `A=[{:(1,-2,1),(-2,3,1),(1,1,5):}]`. Verify that ltbtgt (i) `[adjA]^(-1)=adj (A^(-1))`
(ii) `(A^(-1)^(-1)=A`

Explanation

To verify the statements given in the question, we will follow these steps:

### Step 1: Define the Matrix A
Let \( A = \begin{pmatrix} 1 & -2 & 1 \\ -2 & 3 & 1 \\ 1 & 1 & 5 \end{pmatrix} \).

### Step 2: Calculate the Determinant of A
To find the inverse of A, we first need to calculate its determinant \( |A| \).

...