A First Course in Linear Algebra · Problem C43

Linear Transformations — Robert Beezer

Mathematics — Linear Algebra · pre-images-linear-transformations

Problem

Define

T: P_3 \to P_2

T\left(a + bx + cx^2 + dx^3\right) = b + 2cx + 3dx^2

. Find the pre-image of

0

. Does this linear transformation seem familiar?