if `|{:(3,1,-4),(3,2,5),(1,-1,3):}|=49`, then evaluate `|{:(6,3,-8/3),(6,6,10/3),(2,-3,2):}|`.

Explanation

To solve the problem, we need to evaluate the determinant of the matrix given in the question. We know that the determinant of the first matrix is 49. We will use properties of determinants to find the value of the second determinant.

### Step-by-step Solution:

1. **Identify the given determinant**:
We are given that
\[
|A| = | \begin{pmatrix} 3 & 1 & -4 \\ 3 & 2 & 5 \\ 1 & -1 & 3 \end{pmatrix} | = 49
...