Visualize matrix determinants and tensor hyperdeterminants
Determinant of $3 \times 3$ matrices
Hyperdeterminant of $2 \times 2 \times 2$ tensors
What does the set of singular matrices, defined by $\text{det}(\mathbf{A}) = 0$, look like in $\mathbb{R}^{3 \times 3} = \mathbb{R}^9$? What about the surface where the tensor hyperdeterminant is $0$ for tensors in $\mathbb{R}^{2 \times 2 \times 2} = \mathbb{R}^8?$ Visualize these surfaces in 3-D affine slices using the tools above.
These programs are built on top of the web native, GPU accelerated mathematics visualization software Spirulae, in particular the 3-D Implicit Surface Grapher. Source code for Spirulae is located here.