The population of an $m$-dimensional Bohemian matrix can be visualized as weights in a graph or colored cells in a heatmap. Given that $\mathbb{P}$ is a finite set with low cardinality, it can be represented by a pattern array. Each element is a discrete item which is mapped to a given glyph or hatch.
Three classes of Bohemian matrices of different dimension $m$ are visualized using hatches: Dense, Upper Hessenberg, and Tridiagonal. The population used for the matrices is $\mathbb{P} = \{1, i, -1, -i, 0\}$, with corresponding hatches [’|’, ‘/’, ‘.’, ‘o.’, ‘o’].
A dense matrix with entries sampled from $\mathbb{P}$ and $m=5$.
An upper Hessenberg matrix with entries sampled from $\mathbb{P}$ and $m=5$.
A 5x5 tridiagonal matrix with entries sampled from $\mathbb{P}$ and $m=5$.
A 5x5 grid of 5-dimensional dense matrices with entries from $\mathbb{P}$.
A 5x5 grid of 5-dimensional upper Hessenberg matrices with entries from $\mathbb{P}$.
A 5x5 grid of 5-dimensional tridiagonal matrices with entries from $\mathbb{P}$.
A dense matrix with entries sampled from $\mathbb{P}$ and $m=9$.
An upper Hessenberg matrix with entries sampled from $\mathbb{P}$ and $m=9$.
A 5x5 tridiagonal matrix with entries sampled from $\mathbb{P}$ and $m=9$.
A 5x5 grid of 9-dimensional dense matrices with entries from $\mathbb{P}$.
A 5x5 grid of 9-dimensional upper Hessenberg matrices with entries from $\mathbb{P}$.
A 5x5 grid of 9-dimensional tridiagonal matrices with entries from $\mathbb{P}$.
Row of 5 random matrices in each matrix class for $m=9,15,20$ .
