Vector Multiplication over Concatenated Matrices

A larger matrix, W, is constructed by horizontally concatenating two smaller matrices, W¹ and W², such that W = [W¹ W²]. Given W¹ = [[1, 5], [3, 7]] and W² = [[2, 6], [4, 8]], what is the resulting matrix W?

A large matrix $\mathbf{W}$ is constructed by horizontally joining four smaller matrices of equal size: $\mathbf{W} = [\mathbf{W}^1 \mathbf{W}^2 \mathbf{W}^3 \mathbf{W}^4]$. If the final matrix $\mathbf{W}$ has dimensions of 50 rows and 200 columns, what are the dimensions of a single sub-matrix, such as $\mathbf{W}^1$?

A large matrix $\mathbf{W}$ with dimensions $10 \times 120 is created by horizontally joining a sequence of smaller, identical sub-matrices. If each of these sub-matrices has dimensions $10 \times 30, how many sub-matrices were joined together to form $\mathbf{W}$?

Shape of a Concatenated Weight Sub-Matrix ($\mathbf{W}_h^k$)