0 like 0 dislike
215 views
Let $\mathcal{P}_{2}$ be the space of polynomials of degree at most 2 .

a) Find a basis for this space.
b) Let $D: \mathcal{P}_{2} \rightarrow \mathcal{P}_{2}$ be the derivative operator $D=d / d x$. Using the basis you picked in the previous part, write $D$ as a matrix. Compute $D^{3}$ in this situation. Why should you have predicted this without computation?
| 215 views

0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
1 like 0 dislike
0 like 0 dislike
1 like 0 dislike
1 like 0 dislike
0 like 0 dislike
1 like 0 dislike
2 like 0 dislike
0 like 0 dislike
2 like 0 dislike
1 like 0 dislike
2 like 0 dislike