Given the following matrices, if possible, determine $B A$. Identify the dimensions of the resulting matrix and fill out the matrix, if it exists. If not, state "Not Possible". \[ A=\left[\begin{array}{cc} 8 & -8 \\ -4 & 7 \end{array}\right] \quad B=\left[\begin{array}{c} -7 \\ 8 \\ 2 \end{array}\right] \]

Step 1 ：Given the following matrices, if possible, determine $B A$. Identify the dimensions of the resulting matrix and fill out the matrix, if it exists. If not, state 'Not Possible'.

Step 2 ：\[A=\left[\begin{array}{cc} 8 & -8 \\ -4 & 7 \end{array}\right] \quad B=\left[\begin{array}{c} -7 \\ 8 \\ 2 \end{array}\right]\]

Step 3 ：The multiplication of two matrices is possible only when the number of columns in the first matrix is equal to the number of rows in the second matrix.

Step 4 ：In this case, matrix A is a 2x2 matrix and matrix B is a 3x1 matrix.

Step 5 ：The number of columns in matrix A (2) is not equal to the number of rows in matrix B (3).

Step 6 ：Therefore, the multiplication BA is not possible.

Step 7 ：\(\boxed{\text{Final Answer: Not Possible}}\)