Let `A =[(1,-1,1),(2,1,-3),(1,1,1)]` and `10B=[(4,2,2),(-5,0,alpha),(1,-2,3)]`. If B is the inverse of A, then `alpha` is :

Explanation

To solve the problem, we need to find the value of \( \alpha \) in the matrix \( B \) given that \( B \) is the inverse of matrix \( A \). Let's break down the steps:

### Step 1: Define the matrices
We have the matrix \( A \) defined as:
\[
A = \begin{pmatrix}
1 & -1 & 1 \\
2 & 1 & -3 \\
...