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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 =

  1. 40.5220
  2. 14.4090
  3. 2.5690

frequencies =

  1. 6.3657
  2. 3.7959
  3. 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