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

MatrixSolve Method (Decimal, Decimal, Boolean)

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

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

public static decimal[,] Solve(
	this decimal[,] matrix,
	decimal[,] rightSide,
	bool leastSquares = false
)

<ExtensionAttribute>
Public Shared Function Solve ( 
	matrix As Decimal(,),
	rightSide As Decimal(,),
	Optional leastSquares As Boolean = false
) As Decimal(,)

matrix

Type: SystemDecimal
The matrix for the linear problem.

rightSide

Type: SystemDecimal
The right side b.

leastSquares (Optional)

Type: SystemBoolean
True to produce a solution even if the matrix is singular; false otherwise. Default is false.

Type:

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

or

.

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.

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


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


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

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