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poly

  

compute the characteristic polynomial of a matrix

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

poly(A)

poly(A,x)

Parameters

A

-

matrix, vector, array, or scalar

x

-

(optional) name

Description

• 

The function poly(A,x) returns the characteristic polynomial in x that has the eigenvalues of the matrix A as its roots (all multiplicities respected).

• 

This polynomial is the determinant of x*I - A, where I is the identity matrix with the dimension of A.

• 

If the parameter x is omitted, then the name x is used.

Examples

withMTM:

AMatrix1,2,1,2,4,2,2,8,1

A121242281

(1)

polyA

x36x213x

(2)

polyA,z

z36z213z

(3)

See Also

LinearAlgebra[CharacteristicPolynomial]

MTM[eig]

MTM[jordan]

MTM[svd]