[JBits]

A good use of linear algebra that I'm working with at the moment is the use of splines as a basis for real (vector) functions. After obtaining the matrix/vector representations you can solve for the spline coefficients (and then plot them).

Linear transforms (such as rotations and displacements) in GPU graphics.

Fourier series in signal processing.

JPEG compression.

Obtaining the best fit element in a vector space of curves given data or other constraints.

Understanding autodiff in JAX.

The mathematical definition of a tensor helps develop intuition for manipulating arrays/tensors in array libraries.

Transition matrices of a Markov chain.

PageRank.