Linear algebra basics:
norm Vector or matrix norm
inv Inverse of a square matrix
solve Solve a linear system of equations
det Determinant of a square matrix
lstsq Solve linear least-squares problem
pinv Pseudo-inverse (Moore-Penrose)
matrix_power Integer power of a square matrix
Eigenvalues and decompositions:
eig Eigenvalues and vectors of a square matrix
eigh Eigenvalues and eigenvectors of a Hermitian matrix
eigvals Eigenvalues of a square matrix
eigvalsh Eigenvalues of a Hermitian matrix
qr QR decomposition of a matrix
svd Singular value decomposition of a matrix
cholesky Cholesky decomposition of a matrix
Tensor operations:
tensorsolve Solve a linear tensor equation
tensorinv Calculate an inverse of a tensor