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Showing content from http://accord-framework.net/docs/html/M_Accord_Math_Matrix_Solve_11.htm below:

MatrixSolve Method (Single, Single, Boolean)

MatrixSolve Method (Single, Single, Boolean)

Returns the solution matrix if the matrix is square or the least squares solution otherwise.

Namespace:  Accord.Math
Assembly:

Accord.Math (in Accord.Math.dll) Version: 3.8.0

Syntax
public static float[][] Solve(
	this float[][] matrix,
	float[][] rightSide,
	bool leastSquares = false
)
<ExtensionAttribute>
Public Shared Function Solve ( 
	matrix As Single()(),
	rightSide As Single()(),
	Optional leastSquares As Boolean = false
) As Single()()
Request Example View Source Parameters
matrix
Type: SystemSingle
The matrix for the linear problem.
rightSide
Type: SystemSingle
The right side b.
leastSquares (Optional)
Type: SystemBoolean
True to produce a solution even if the matrix is singular; false otherwise. Default is false.
Return Value

Type:

Single Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type . When you use instance method syntax to call this method, omit the first parameter. For more information, see

Extension Methods (Visual Basic)

or

Extension Methods (C# Programming Guide)

.

Remarks

Please note that this does not check if the matrix is non-singular before attempting to solve. If a least squares solution is desired in case the matrix is singular, pass true to the leastSquares parameter when calling this function.

Examples
Single[,] matrix = 
{
    { 1, 2, 3 },
    { 4, 5, 6 },
    { 7, 8, 9 },
};


Single[,] rightSide = { {1}, {2}, {3} };


Single[,] x = Matrix.Solve(matrix, rightSide, leastSquares: true);

See Also

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