Linear Layer Forward

Compute the forward pass of a dense (fully connected) layer for a batch: $Y=XW+bY=XW+b$, where X is $n\times d_{in}n\backslash times\; d\_\{in\}$, W is $d_{in}\times d_{out}d\_\{in\}\backslash times\; d\_\{out\}$ and b has length $d_{out}d\_\{out\}$.

Implement solve(X,W,b).

Returns. Return an $n\times d_{out}n\backslash times\; d\_\{out\}$ NumPy array.

Examples

Example 1

Input:

solve([[1.0, 2.0]], [[1.0, 0.0], [0.0, 1.0]], [0.0, 0.0])

Output:

[[1.0, 2.0]]

Example 2

Input:

solve([[1.0, 2.0], [3.0, 4.0]], [[1.0], [1.0]], [0.5])

Output:

[[3.5], [7.5]]