A First Course in Linear Algebra · Problem MR.M20

Representations — Robert Beezer

Mathematics — Linear Algebra · rank-nullity-differentiation

Problem

The linear transformation DD performs differentiation on polynomials. Use a matrix representation of DD to find the rank and nullity of DD. D:Pn→Pn,D(p(x))=p′(x)D: P_n \to P_n, \quad D(p(x)) = p'(x)

Related theory

Browse the problem library