Package org.matheclipse.core.builtin

Class LinearAlgebra.Det

java.lang.Object

org.matheclipse.core.eval.interfaces.AbstractEvaluator

org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

org.matheclipse.core.eval.interfaces.AbstractMatrix1Expr

org.matheclipse.core.builtin.LinearAlgebra.Det

All Implemented Interfaces:

IFunctionEvaluator, IEvaluator

Enclosing class:

LinearAlgebra

public static class LinearAlgebra.Det
extends AbstractMatrix1Expr

 Det(matrix)
 

computes the determinant of the matrix.

See:

• Wikipedia: Determinant

Examples

 >> Det({{1, 1, 0}, {1, 0, 1}, {0, 1, 1}})
 -2
 

Symbolic determinant:

 >> Det({{a, b, c}, {d, e, f}, {g, h, i}})
 -c*e*g+b*f*g+c*d*h-a*f*h-b*d*i+a*e*i
 

Nested Class Summary

Nested classes/interfaces inherited from class org.matheclipse.core.eval.interfaces.AbstractMatrix1Expr

AbstractMatrix1Expr.PossibleZeroQTest

Field Summary

Fields inherited from class org.matheclipse.core.eval.interfaces.AbstractMatrix1Expr

POSSIBLE_ZEROQ_TEST

Fields inherited from interface org.matheclipse.core.eval.interfaces.IFunctionEvaluator

ARGS_0_0, ARGS_0_1, ARGS_0_1_0, ARGS_0_2, ARGS_0_2_0, ARGS_0_3, ARGS_0_INFINITY, ARGS_1_1, ARGS_1_2, ARGS_1_2_0, ARGS_1_2_1, ARGS_1_2_2, ARGS_1_3, ARGS_1_3_0, ARGS_1_3_1, ARGS_1_3_2, ARGS_1_4, ARGS_1_4_0, ARGS_1_4_1, ARGS_1_4_2, ARGS_1_5, ARGS_1_5_1, ARGS_1_INFINITY, ARGS_1_INFINITY_0, ARGS_1_INFINITY_1, ARGS_2_2, ARGS_2_2_1, ARGS_2_3, ARGS_2_3_0, ARGS_2_3_1, ARGS_2_3_2, ARGS_2_4, ARGS_2_4_1, ARGS_2_4_2, ARGS_2_INFINITY, ARGS_3_3, ARGS_3_4, ARGS_3_5, ARGS_3_6, ARGS_3_INFINITY, ARGS_4_4, ARGS_5_5, ARGS_6_6

Constructor Summary

Constructors

Constructor	Description
Det()

Method Summary

Modifier and Type	Method	Description
int[]	checkMatrixDimensions(IExpr arg1)	Check if arg1 is a matrix.
IExpr	matrixEval(org.hipparchus.linear.FieldMatrix<IExpr> matrix, Predicate<IExpr> zeroChecker)	Evaluate the symbolic matrix for this algorithm.
IExpr	realMatrixEval(org.hipparchus.linear.RealMatrix matrix, EvalEngine engine)	Evaluate the numeric matrix for this algorithm.

Methods inherited from class org.matheclipse.core.eval.interfaces.AbstractMatrix1Expr

evaluate, expectedArgSize, numericEval, optionZeroTest

Methods inherited from class org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

createRuleFromMethod, determineOptions, extractImaginaryUnit, extractImaginaryUnit, getComplexExpr, getNegativePlusInTimes, getNormalizedNegativeExpression, getNormalizedNegativeExpression, getPeriodicParts, getPowerNegativeExpression, getPureImaginaryPart, imaginaryPart, initSerializedRules, isNegativeWeighted, isNegativeWeighted, peelOff, peelOffPlusI, peelOffPlusRational, peelOfTimes, peelOfTimes, realPart, setUp

Methods inherited from class org.matheclipse.core.eval.interfaces.AbstractEvaluator

defaultReturn, evalCatched

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.matheclipse.core.interfaces.IEvaluator

await, setOptions

Methods inherited from interface org.matheclipse.core.eval.interfaces.IFunctionEvaluator

getOptionSymbols, numericFunction, print, status

Constructor Detail

Det

public Det()

Method Detail

checkMatrixDimensions

public int[] checkMatrixDimensions(IExpr arg1)

Description copied from class: AbstractMatrix1Expr

Check if arg1 is a matrix.

Overrides:

checkMatrixDimensions in class AbstractMatrix1Expr

Returns:

matrixEval

public IExpr matrixEval(org.hipparchus.linear.FieldMatrix<IExpr> matrix,
                        Predicate<IExpr> zeroChecker)

Description copied from class: AbstractMatrix1Expr

Evaluate the symbolic matrix for this algorithm.

Specified by:

matrixEval in class AbstractMatrix1Expr

Parameters:

matrix - the matrix which contains symbolic values

zeroChecker - test if a calculation is 0.

Returns:

F.NIL if the evaluation isn't possible

realMatrixEval

public IExpr realMatrixEval(org.hipparchus.linear.RealMatrix matrix,
                            EvalEngine engine)

Description copied from class: AbstractMatrix1Expr

Evaluate the numeric matrix for this algorithm.

Specified by:

realMatrixEval in class AbstractMatrix1Expr

Parameters:

matrix - the matrix which contains numeric values

engine - TODO

Returns:

F.NIL if the evaluation isn't possible