/// <summary>
/// Method is used to take inversed matrix.
/// </summary>
/// <param name="matrix">Initial matrix.</param>
/// <returns>Inversed matrix.</returns>
public static MatrixT <T> GetInverseMatrix(MatrixT <T> matrix)
{
double determinant = MatrixT <T> .GetMatrixDeterminant(matrix);
if (determinant != 0)
{
MatrixT <T> reversedMatrix = new MatrixT <T>(matrix.Rows, matrix.Columns);
for (int i = 0; i < matrix.Rows; i++)
{
for (int j = 0; j < matrix.Columns; j++)
{
MatrixT <T> tempMatrix = MatrixT <T> .GetMinor(matrix, i, j);
reversedMatrix[i, j] = (dynamic)Math.Pow(-1.0, i + j + 2) * (dynamic)MatrixT <T> .GetMatrixDeterminant(tempMatrix) / (dynamic)determinant;
}
}
return(MatrixT <T> .TransponeMatrix(reversedMatrix));
}
return(null);
}
/// <summary>
/// Method is used to take inversed matrix.
/// </summary>
/// <param name="matrix">Initial matrix.</param>
/// <returns>Inversed matrix.</returns>
public static MatrixT <T> GetInverseMatrix3(MatrixT <T> matrix)
{
if (matrix.Columns == matrix.Rows)
{
if (MatrixT <T> .GetMatrixDeterminant(matrix) != 0.0)
{
MatrixT <T> matrixCopy = new MatrixT <T>(matrix.Rows, matrix.Columns);
for (int i = 0; i < matrix.Rows; i++)
{
for (int j = 0; j < matrix.Columns; j++)
{
matrixCopy[i, j] = matrix[i, j];
}
}
MatrixT <T> reverseMatrix = new MatrixT <T>(matrix.Rows, matrix.Columns);
MatrixT <T> .SetBaseMatrix(reverseMatrix);
for (int k = 0; k < matrix.Rows; k++)
{
T div = matrixCopy[k, k];
for (int m = 0; m < matrix.Columns; m++)
{
matrixCopy[k, m] /= (dynamic)div;
reverseMatrix[k, m] /= (dynamic)div;
}
for (int i = k + 1; i < matrix.Rows; i++)
{
T multi = matrixCopy[i, k];
for (int j = 0; j < matrix.Columns; j++)
{
matrixCopy[i, j] -= (dynamic)multi * (dynamic)matrixCopy[k, j];
reverseMatrix[i, j] -= (dynamic)multi * (dynamic)reverseMatrix[i, j];
}
}
}
for (int kk = matrix.Rows - 1; kk > 0; kk--)
{
matrixCopy[kk, matrix.Columns - 1] /= (dynamic)matrixCopy[kk, kk];
reverseMatrix[kk, matrix.Columns - 1] /= (dynamic)matrixCopy[kk, kk];
for (int i = kk - 1; i + 1 > 0; i--)
{
T multi2 = matrixCopy[i, kk];
for (int j = 0; j < matrix.Columns; j++)
{
matrixCopy[i, j] -= (dynamic)multi2 * (dynamic)matrixCopy[kk, j];
reverseMatrix[i, j] -= (dynamic)multi2 * (dynamic)reverseMatrix[kk, j];
}
}
}
return(MatrixT <T> .TransponeMatrix(reverseMatrix));
}
}
return(null);
}