1. The problem is to evaluate the expression involving matrices and fractions given as: $$11^3 - \begin{bmatrix}-5 & 3 & 1 \\ 8 & 2 & 8\end{bmatrix} = \begin{bmatrix}1 & 3 \\ 2 & 4\end{bmatrix} - \frac{5}{2}$$ 2. First, calculate $11^3$: $$11^3 = 11 \times 11 \times 11 = 1331$$ 3. The matrix subtraction is not fully clear, but assuming the problem is to subtract the matrix from the scalar $1331$, this is not defined. Instead, let's interpret the problem as evaluating $11^3$ and then subtracting the matrix elements from the scalar element-wise if possible, or just focus on the scalar part. 4. Since the matrix subtraction is ambiguous, let's focus on the scalar fraction expression: $$\frac{5}{2} = 2.5$$ 5. The second matrix given is: $$\begin{bmatrix}1 & 3 \\ 2 & 4\end{bmatrix}$$ 6. Without further instructions, the problem seems incomplete or unclear. However, the first clear calculation is: $$11^3 = 1331$$ 7. Therefore, the final answer for the first clear part is: $$1331$$