Simple & Light Linear Algebra Header

contains only one header for definitions and one cpp file for realizations.

Stream I/O OK!

1. Requirements

Use Matrix to create your own matrix with any type you want. Likewise you can create your own ColVector and RowVector since they are technically all matrices. XD

But for the type T, the operators below is needed:

+, -, *, / +=, -=, *=, /= =, ==

T should be able to be compared with zero and able to be assigned an integer.

2. How To Include It ?

Of course use

        #include "Matrix.h"

and everything will be ok. Other files? Just leave them in the same folder.

3. How To Use It ?

• First, about initializations:

         //default setting ---- empty
         Matrix<T>();

         //default setting ---- zero matrix
         Matrix<T>(const size_t& argHeight, const size_t& argWidth);

         //default setting ---- identity matrix
         Matrix<T>(const size_t& argSize );

         //copy ---- identical matrix
         Matrix<T>(const Matrix<T>& argMatrix );

• Second, about simple operations:

        const size_t &GetHeight();

        const size_t &GetWidth();

        void Resize(const size_t &argHeight, const size_t &argWidth);

        void SetColumn(const ColVector<T> &col, const size_t &pos);

        void SetRow(const RowVector<T> &row, const size_t &pos);

        ColVector<T> GetColumn(const size_t &c) const;

        RowVector<T> GetRow(const size_t &r) const;

• Third, about linear algebra functions:

        Matrix<T> SubMatrix(
            const size_t &startRow,
            const size_t &startCol,
            const size_t &subHeight,
            const size_t &subWidth) const;

        Matrix<T> Transpose();

        Matrix<T> Elimination(ColVector<T> *b=nullptr) const;

        Matrix<T> Solution(ColVector<T> *argB=nullptr, ColVector<T> *specificSolution=nullptr) const;

        Matrix<T> Inverse() const;

        T Determinant() const;

4. Isn't it too simple ?

YES

5. Extra service

A quotient class is included in the folder.

#include "Quotient.h"

to include and use.

• Features Functions:

        Quotient inverse();

        void Simplify();

        void setQuotient(int argP, int argQ);

        int getNumerator();

        int getDenominator();

        float getQuotient();

        void setNumerator(int argP);

        void setDenominator(int argQ);

Stream I/O
Integer assignment
Fundamental opertions of arithmetic