linear_algebra
homework 5
size of Matrix ------------- error
3 2.3414572118661487465374193562
4 1.5089317413322578254053496494
5 2.7183537012435592394865579990
6 2.9952458816401601460199799476
7 2.1975878506014523416922656907
8 2.2726826857500208589613066579
9 1.2565685195978946175898727233
10 0.0000000000000001092738104726
Question 5:
eigenvalues =
- 40.5220
- 14.4090
- 2.5690
frequencies =
- 6.3657
- 3.7959
- 1.6028
Question 6:
| # of segments | largest | smallest | # of eigenvalues |
| ------------- | ------- | -------- | ---------------- |
| -------5----- | 3.6180 | 0.3820 | -------4-------- |
| -------6----- |3.7321 | 0.2679 | -------5-------- |
| ------10----- |3.9021 | 0.0979 | ------ 9-------- |
when delta x approaches the number of segments is apporaching infinity and therefore the number of eigenvalues is approaching infinity