construct the characteristic polynomial of a Matrix - Maple Help

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Student[LinearAlgebra][CharacteristicPolynomial] - construct the characteristic polynomial of a Matrix

Calling Sequence

CharacteristicPolynomial(A, t)

Parameters

A

-

Matrix

t

-

name; variable

Description

• 

The CharacteristicPolynomial(A, t) command returns the characteristic polynomial  in t that has the eigenvalues of Matrix A as its roots (all multiplicities respected).

  

This polynomial is the determinant of IdtA, where Id is the identity Matrix with Dimension(A).

Examples

withStudent[LinearAlgebra]:

M:=1,0,0|1,1,0|0,3,2

M:=110013002

(1)

CharacteristicPolynomialM,x

x34x2+5x2

(2)

solve,x

2,1,1

(3)

EigenvaluesM

211

(4)

See Also

LinearAlgebra[CharacteristicPolynomial], solve, Student[LinearAlgebra], Student[LinearAlgebra][CharacteristicMatrix], Student[LinearAlgebra][Eigenvalues], Student[LinearAlgebra][IdentityMatrix], Student[LinearAlgebra][MinimalPolynomial]


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