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SOLUTIONS
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Constructing Matrices
Mathematica provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of equations, symbolic sparse or banded matrices, and symbolic geometric transformations.
ReferenceReference
Table — construct a matrix from an expression
Array — construct a matrix from a function
CoefficientArrays — construct a matrix from a system of equations
SparseArray — construct a sparse matrix from positions and values
Normal — convert a sparse matrix to ordinary form
Band — give values on any collection of bands, for tridiagonal etc. matrices
IdentityMatrix ▪ DiagonalMatrix ▪ ConstantArray
ArrayFlatten — flatten a matrix of matrices to make a block matrix
Partition — partition a list to make a matrix
Join — join several matrices to make a matrix
PadLeft, PadRight — pad out a ragged array to make a matrix
ArrayPad — add padding around a matrix
HilbertMatrix ▪ HankelMatrix ▪ ToeplitzMatrix
Geometric Matrices »
RotationMatrix ▪ ScalingMatrix ▪ ShearingMatrix ▪ ...
Structure Matrices »
BoxMatrix ▪ CrossMatrix ▪ DiamondMatrix ▪ DiskMatrix ▪ GaussianMatrix ▪ ...
