$\begin{array}{c} (t) \ \left\{\begin{array}{cc} [xy], & [-2,8], [-1,5], [1,4,-3], [9,4], [1,5+1], [2,8^{3}+3], [2] \end{array}\right. \end{array}$

Full solution

\begin{array}{c} (t) \ \left\{\begin{array}{cc} [xy], & [-2,8], [-1,5], [1,4,-3], [9,4], [1,5+1], [2,8^{3}+3], [2] \end{array}\right. \end{array}

Identify Matrix Elements: Step $1$ : Identify the matrix and its elements. $\newline$ Matrix: $\newline$ $\begin{bmatrix} xy & -2 & 8 \\ -1 & 5 & 1 \\ 4 & -3 & 9 \\ 4 & 1 & 5+1 \\ 2 & 8^3+3 & 2 \end{bmatrix}$
Simplify Matrix Elements: Step $2$ : Simplify the elements of the matrix. $\newline$ - Simplify $5+1$ in the matrix. $\newline$ - Simplify $8^3+3$ . $\newline$ Calculations: $\newline$ $5+1 = 6$ , $\newline$ $8^3 = 512$ , $\newline$ $512 + 3 = 515$ . $\newline$ Updated Matrix: $\newline$ $\begin{bmatrix} xy & -2 & 8 \\ -1 & 5 & 1 \\ 4 & -3 & 9 \\ 4 & 1 & 6 \\ 2 & 515 & 2 \end{bmatrix}$
Check for Further Operations: Step $3$ : Check for any further simplifications or operations needed. $\newline$ - No further simplifications or operations are needed. $\newline$ Final Matrix: $\newline$ $\begin{bmatrix} xy & -2 & 8 \\ -1 & 5 & 1 \\ 4 & -3 & 9 \\ 4 & 1 & 6 \\ 2 & 515 & 2 \end{bmatrix}$