L: P3 ? P1 is a linear mapping and L (g (t)) is the remainder ofg (t) divided by t ^ 2 + t - 2.
1. Assume that the matrix A = [L] BB` representing the mapping Lwhen the ordered basis of P3 is B = {t, t ^ 3, t ^ 2} and theoredered basis B of P1 = {1, t} Please.
2. Find the nullity of matrix A from above.
