Derivatives with Matrices
Using simple matrix multiplication, we are able to find the derivative of, at least, polynomials. Our aim is to find the derivative of
% The derivative matrix, D, for polynomials of degree 3.
D = [0 1 0 0; 0 0 2 0; 0 0 0 3]
D =
0 1 0 0
0 0 2 0
0 0 0 3
% The polynomial, p, p = [ 2; 4; 7; 1]; % The derivative of p (d/dx) is multiplication of matrices D and p q = D*p % The result is
q =
4
14
3
