The kernel is the "input that maps to zero," and the image is the "output that is actually obtained." Even if you know the definitions, you may sometimes struggle when writing out the answers as sets.

Polynomial matrices, whose entries are univariate or multivariate polynomials, furnish a powerful algebraic framework for the analysis and control of linear systems. By extending classical matrix ...

A worksheet on factoring polynomials covering different cases: extracting a common factor, difference of two squares, perfect square and trinomials with leading coefficient 1. Detailed solutions are ...