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## Homework Statement

Let P3 be the space of all polynomials (with real coefficients) of degree at most 3. Let

D : P3 -> P3 be the linear transformation given by taking the derivative of a polynomial.

That is

D(a + bx + cx2 + dx3) = b + 2cx + 3dx2:

Let B be the standard basis {1; x; x2; x3} of P3.

(a) Find the matrix MD of D with respect to the standard basis.

(b) Explain, without doing any matrix calculations, why (MD)4 = 0.

## Homework Equations

## The Attempt at a Solution

i know it may be a simple question but i dont even know where to begin

but in a attempt is

MD = [1 1 1 1;

0 2 3 0]