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