Transpose (Built-in Mathematica Symbol)

Transpose[list] transposes the first two levels in list. Transpose[list, {n_1, n_2, ...}] transposes list so that the k\[Null]^th level in list is the n_k\[Null]^th level in ...

ArrayFlatten (Built-in Mathematica Symbol)

ArrayFlatten[{{m_11, m_12, ...}, {m_21, m_22, ...}, ...}] creates a single flattened matrix from a matrix of matrices m i j. ArrayFlatten[a, r] flattens out r pairs of levels ...

Eigenvalues (Built-in Mathematica Symbol)

Eigenvalues[m] gives a list of the eigenvalues of the square matrix m. Eigenvalues[{m, a}] gives the generalized eigenvalues of m with respect to a. Eigenvalues[m, k] gives ...

Inverse (Built-in Mathematica Symbol)

Inverse[m] gives the inverse of a square matrix m.

Band (Built-in Mathematica Symbol)

Band[{i, j}] represents the sequence of positions on the diagonal band that starts with {i, j} in a sparse array.Band[{i_min, j_min, ...}, {i_max, j_max, ...}] represents the ...

Graphs and Matrices (Mathematica Guide)

Matrix representations of graphs go back a long time and are still in some areas the only way to represent graphs. Adjacency matrices represent adjacent vertices and ...

Create Lists (Mathematica How To)

Lists are very important and general structures in Mathematica. They allow you to treat collections of all kinds of objects as a single entity. There are many ways to ...

Eigenvalues and Eigenvectors (Mathematica Tutorial)

Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...

Eigensystem (Built-in Mathematica Symbol)

Eigensystem[m] gives a list {values, vectors} of the eigenvalues and eigenvectors of the square matrix m. Eigensystem[{m, a}] gives the generalized eigenvalues and ...

WishartDistribution (Multivariate Statistics Package Symbol)

WishartDistribution[\[CapitalSigma], m] represents a Wishart distribution with scale matrix \[CapitalSigma] and degrees of freedom parameter m.