Let `A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)],` then find `tr(A)-tr(B).`

Explanation

To solve the problem, we need to find \( \text{tr}(A) - \text{tr}(B) \) given the equations \( A + 2B = \begin{pmatrix} 1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1 \end{pmatrix} \) and \( 2A - B = \begin{pmatrix} 2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2 \end{pmatrix} \).

### Step-by-Step Solution:

1. **Calculate \( \text{tr}(A + 2B) \)**:
\[ A + 2B = \begin{pmatrix} 1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1 \end{pmatrix} \]
...