DeterminantSteps - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

All Products    Maple    MapleSim


Student[LinearAlgebra]

  

DeterminantSteps

  

show steps in finding the determinant of a square matrix

 

Calling Sequence

Parameters

Description

Package Usage

Examples

Compatibility

Calling Sequence

Student[LinearAlgebra][DeterminantSteps](m, opts)

Parameters

m

-

square matrix to find the determinant of

opts

-

options of the form keyword=value

Description

• 

The DeterminantSteps command is used to show the steps of finding the determinant of a square matrix.

• 

The DeterminantSteps supports square matrices up to 5 by 5 in size.

• 

The displaystyle and output options can be used to change the output format.  See OutputStepsRecord for details.

Package Usage

• 

This function is part of the Student[LinearAlgebra] package, so it can be used in the short form DeterminantSteps(..) only after executing the command with(Student[LinearAlgebra]). However, it can always be accessed through the long form of the command by using Student[LinearAlgebra][DeterminantSteps](..).

Examples

withStudentLinearAlgebra:

PMatrix1,3,2,2,3,1,2,2,1

132231221

(1)

DeterminantStepsP

Let's find the determinant132231221Use cofactor expansion on the3by3matrixFind the determinant of the 2 by 2 matrices by multiplying the diagonalsEvaluate inside the bracketsMultiplyEvaluate−3

(2)

A8,4,1,5|4,2,0.5,2.5|5,2,3,1|5,2.5,4,9

84554222.510.53452.519

(3)

DeterminantStepsA

Let's find the determinant84−5−542−2−2.5−1−0.53−4−5−2.5−1−9Subtract2times column2from column104−5−502−2−2.50−0.53−40−2.5−1−9Since there is a zero column0

(4)

DeterminantStepsMatrix7,5,2,3,output=printf

• Let's find the determinant
        Matrix(2, 2, [[7,5],[2,3]])
• Find the determinant of the 2 by 2 matrix by multiplying the diagonals
        -2*5+3*7
• Evaluate
        11

DeterminantStepsMatrix7,5,2,3

Let's find the determinant7523Find the determinant of the 2 by 2 matrix by multiplying the diagonalsEvaluate11

(5)

Compatibility

• 

The Student[LinearAlgebra][DeterminantSteps] command was introduced in Maple 2022.

• 

For more information on Maple 2022 changes, see Updates in Maple 2022.

See Also

Student:-Basics:-OutputStepsRecord

Student:-Calculus1:-ShowSolution

Student:-Calculus1:-ShowSteps

Student:-LinearAlgebra