Matrix

Template C++ Matrix implementation over arbitrary Field

Implementation

The Matrix class is based on std::vector of type Field, which is my self-written Rational by default.
There also implemented class Finite field (numbers from 0 to N) to show other type of non-trivial Field in matrices.
SquareMatrix is an alias for Matrix<N, N> and extends amount of methods, which are special for squared matrices.

Possibilities

Finite Field:

• some constuctors
• basic operations (+,-,*,/)
• their equal-versions (+=, -=, *=)
• unary minus (-)
• post-increment and pre-increment (++, --)
• comparison operation (==, !=)
• input and output operators (<<, >>)
• inverse of a number
• binary power

Matrix:

• constructors (default and from vector)
• basic operations (+,-,*)
• their equal-versions (+=, -=, *=)
• trasposing
• rank of a matrix
• braces operators [] (by reference and not)
• comparison operation (==, !=)
• input and output operators (<<, >>)
• left and right multiplication on an element of the Field

SquareMatrix:

• everything that matrix can
• determinant computing (N^3)
• trace computing
• inverse matrix computing (N^3)