question 3

(1 point) Let \"P\" be the vector space of all polynomials of degree n or less in the variable 3:. Let D : 'Pa % 7'; be the linear transformation dened by D(p(:1:)) : 1f (2:). That is, D is the derivative operator. Let B = {1,1,12,123}, C 7 {l+z+22,1+12,71+z}, be ordered bases for 133 and P2, respectively. Find the matrix [DE for D relative to the basis B in the domain and C in the oodornain