Assignment: DSLM Week 7

DSLsofMath 2025 (DAT326 / DIT983)
2025-01-03T13:59:14Z

Due: 7 Mar 2025 by 13:10

* With G = N (N for the natural numbers), implement the derivative Deriv and the integral Integ as infinite-dimensional matrices. (As linear transformations from and to power series.)

* For extra credit, prove that Deriv * Integ = Id (Where Id i j = if i == j then 1 else 0 is the identity matrix).

* Hint: first try it out with a finite dimensional matrix for polynomials of degree up to 4.

* With G = N (N for the natural numbers), implement the derivative Deriv and the integral Integ as infinite-dimensional matrices. (As linear transformations from and to power series.)

* For extra credit, prove that Deriv * Integ = Id (Where Id i j = if i == j then 1 else 0 is the identity matrix).

* Hint: first try it out with a finite dimensional matrix for polynomials of degree up to 4.