Domain: academics (Mathematical and Algorithmic Computation)
Problem: I am verifying the forward pass of a custom convolutional layer for my computer vision project. Based on the single-channel image and the 3x3 filter provided in the diagram, please compute the full 6x6 output feature map using a cross-correlation operation with a stride of 1 and a padding of 1. To ensure the accuracy of my verification script, please output the final 6x6 result strictly as a LaTeX bmatrix enclosed in brackets, following this format: [ \begin{bmatrix} a & b \ c & d \end{bmatrix} ].
Answer: [
 \begin{bmatrix}
 -19&\ 22&-20&-12&-17&\ 11\
 \ 16&-30&\ -1&\ 23&\ -7&-14\
 -14&\ 24&\ \ 7&\ -2&\ \ 1&\ -7\
 -15&-10&\ -1&\ -1&-15&\ \ 1\
 -13&\ 13&-11&\ -5&\ 13&\ -7\
 -18&\ \ 9&-18&\ 13&\ -3&\ \ 4
 \end{bmatrix}
 ]