Simple 3x3 matrix inverse code (C++)

Question

What\'s the easiest way to compute a 3x3 matrix inverse?

I\'m just looking for a short code snippet that\'ll do the trick for non-singular matrices, possibly using C

Answer 1

//Title: Matrix Header File
//Writer: Say OL
//This is a beginner code not an expert one
//No responsibilty for any errors
//Use for your own risk
using namespace std;
int row,col,Row,Col;
double Coefficient;
//Input Matrix
void Input(double Matrix[9][9],int Row,int Col)
{
    for(row=1;row<=Row;row++)
        for(col=1;col<=Col;col++)
        {
            cout<<"e["<>Matrix[row][col];
        }
}
//Output Matrix
void Output(double Matrix[9][9],int Row,int Col)
{
    for(row=1;row<=Row;row++)
    {
        for(col=1;col<=Col;col++)
            cout<1)
        for(row=tRow-1;row>=1;row--)
        {
            Coefficient=MatrixUp[row][tCol];
            for(col=1;col<=Col;col++)
                MatrixUp[row][col]-=Coefficient*MatrixUp[tRow][col];
        }
    return MatrixUp;
}
//Pivote in Determinant
double MatrixPiv[9][9];
double (*(Pivote)(double MatrixInput[9][9],int Dim,int pTarget))[9]
{
    CopyMatrix(MatrixInput,MatrixPiv,Dim,Dim);
    for(row=pTarget+1;row<=Dim;row++)
    {
        Coefficient=MatrixPiv[row][pTarget]/MatrixPiv[pTarget][pTarget];
        for(col=1;col<=Dim;col++)
        {
            MatrixPiv[row][col]-=Coefficient*MatrixPiv[pTarget][col];
        }
    }
    return MatrixPiv;
}
//Determinant of Square Matrix
int dCounter,dRow;
double Det;
double MatrixDet[9][9];
double Determinant(double MatrixInput[9][9],int Dim)
{
    CopyMatrix(MatrixInput,MatrixDet,Dim,Dim);
    Det=1.0;
    if(Dim>1)
    {
        for(dRow=1;dRow1;Counter--)
    {
        Pointer=PivoteUp(MatrixAug,Row,Col,Counter,Counter);
        CopyPointer(Pointer,MatrixAug,Row,Col);
    }
    for(row=1;row<=Dim;row++)
        for(col=1;col<=Dim;col++)
            MatrixInv[row][col]=MatrixAug[row][col+Dim];
    return MatrixInv;
}
//Gauss-Jordan Elemination
double MatrixGJ[9][9];
double VectorGJ[9][9];
double (*(GaussJordan)(double MatrixInput[9][9],double VectorInput[9][9],int Dim))[9]
{
    Row=Dim;
    Col=Dim+1;
    Pointer=JoinMatrix(MatrixInput,VectorInput,Dim,Dim,1);
    CopyPointer(Pointer,MatrixGJ,Row,Col);
    for(Counter=1;Counter<=Dim;Counter++)   
    {
        Pointer=PivoteDown(MatrixGJ,Row,Col,Counter,Counter);
        CopyPointer(Pointer,MatrixGJ,Row,Col);
    }
    for(Counter=Dim;Counter>1;Counter--)
    {
        Pointer=PivoteUp(MatrixGJ,Row,Col,Counter,Counter);
        CopyPointer(Pointer,MatrixGJ,Row,Col);
    }
    for(row=1;row<=Dim;row++)
        for(col=1;col<=1;col++)
            VectorGJ[row][col]=MatrixGJ[row][col+Dim];
    return VectorGJ;
}
//Generalized Gauss-Jordan Elemination
double MatrixGGJ[9][9];
double VectorGGJ[9][9];
double (*(GeneralizedGaussJordan)(double MatrixInput[9][9],double VectorInput[9][9],int Dim,int vCol))[9]
{
    Row=Dim;
    Col=Dim+vCol;
    Pointer=JoinMatrix(MatrixInput,VectorInput,Dim,Dim,vCol);
    CopyPointer(Pointer,MatrixGGJ,Row,Col);
    for(Counter=1;Counter<=Dim;Counter++)   
    {
        Pointer=PivoteDown(MatrixGGJ,Row,Col,Counter,Counter);
        CopyPointer(Pointer,MatrixGGJ,Row,Col);
    }
    for(Counter=Dim;Counter>1;Counter--)
    {
        Pointer=PivoteUp(MatrixGGJ,Row,Col,Counter,Counter);
        CopyPointer(Pointer,MatrixGGJ,Row,Col);
    }
    for(row=1;row<=Row;row++)
        for(col=1;col<=vCol;col++)
            VectorGGJ[row][col]=MatrixGGJ[row][col+Dim];
    return VectorGGJ;
}
//Matrix Sparse, Three Diagonal Non-Zero Elements
double MatrixSpa[9][9];
double (*(Sparse)(int Dimension,double FirstElement,double SecondElement,double ThirdElement))[9]
{
    MatrixSpa[1][1]=SecondElement;
    MatrixSpa[1][2]=ThirdElement;
    MatrixSpa[Dimension][Dimension-1]=FirstElement;
    MatrixSpa[Dimension][Dimension]=SecondElement;
    for(int Counter=2;Counter

Copy and save the above code as Matrix.h then try the following code:

#include
#include
#include"Matrix.h"
int Dim;
double Matrix[9][9];
int main()
{
    cout<<"Enter your matrix dimension: ";
    cin>>Dim;
    Input(Matrix,Dim,Dim);
    cout<<"Your matrix:"<