程序代写代做代考 Microsoft Word – algebra.docx

Microsoft Word – algebra.docx

1.

Describe a canonical representation for dense matrices whose entries come from a domain

R.

Describe a canonical representation for sparse matrices whose entries come from a domain

R.

What properties do you require R to have for the previous two parts?

2.

Describe a canonical representation for polynomials in several variables with integer

coefficients.

Explain carefully how the representation of previous answer can be used to build a canonical

representation for fractions of polynomials in several variables with integer coefficients.

Then give a canonical representation for m*n matrices whose elements are fractions of

polynomials in several variables.