QUESTION $5$b $-2\backslash \%$

Consider the following one$-$dimensional vector of pixels $($in blue nodes$)$ to apply one$-$dimensional convolution operation $($numbers on arcs$)$ with pool$\_$size $\backslash (=3\backslash )$ and stride $\backslash (=2\backslash ).$ Apply convolution operation with the above settings and fill the orange circles. Once the convolution operation is applied, apply average pooling on convolved vector and fill in the top orange circle with your result.

F

Hint: Your input pixels $($blue squares$)$ and convolution kernel $($numbers on arcs$)$ can be regarded as a vector and matrix $($with zeros in the rows due to the pool$\_$size of only $3),$ respectively. You can write them down as matrix and a vector and then perform your dot product if felt convenient. This is optional.