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linalg(deprecated)

  

bezout

  

create the Bezout matrix of two polynomials

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

bezout(p, q, x)

Parameters

p, q

-

polynomials in the variable x

x

-

variable (name)

Description

• 

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[BezoutMatrix], instead.

  

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

• 

The call bezout(p, q, x) returns the Bezout matrix of the polynomials p and q with respect to x. Note that the determinant of this matrix is equal to resultant(p, q, x).

• 

If p is of degree m in x and q is of degree n in x then the output is a square matrix of dimension max(m, n).

• 

The command with(linalg,bezout) allows the use of the abbreviated form of this command.

Examples

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[BezoutMatrix], instead.

withlinalg:

pa+bx+cx2

pcx2+bx+a

(1)

qd+ex+fx2

qfx2+ex+d

(2)

bezoutp,q,x

af+cdae+bdbf+ceaf+cd

(3)

See Also

linalg(deprecated)[det]

linalg(deprecated)[sylvester]

LinearAlgebra

LinearAlgebra[BezoutMatrix]

resultant