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ere13004 committed Mar 28, 2017
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# linear_algebra
## 5 ##

## 2. ##


## 3. ##


## 4. ##


## 5. ##

Natrual Frequency 1 = 2sqrt(5)
Natural Frequency 2 = 0.5(sqrt(5*(sqrt(129)-9)))
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![first work] (first work.png)
![second work] (second work.png)
## 6 ##
## 6. ##
| # of segments | largest | smallest | # of eigenvalues |
| --- | --- | --- | --- |
| 5 | 3.6180 | 0.3820 | 4 |
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If the segment length (dx) approaches 0, this implies that the number of segments continues to grow to infinity. Therefore, there will also be an infinite number of eigenvalues. This conclusion is supported by the pattern in behavior illustrated in the table above.

#### Script for 6 #####
````
##### Script for 6 #####

function [ max_eig,min_eig,quant_eig] = PoleVault( segments,length )
%PoleVault The purpose of the function is to find the eigenvalues for a
%slender column subject in axial load for a general number of segments.
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