homework question on cocalc website use python or sagemath

Please read each question carefully, I don’t think this three question are hard for an expertise, so I need working code. For answer in word, please explain as detail as you can.
For question 4, Minimum spanning trees
there are three link on the questions:

[haversine formula](https://en.wikipedia.org/wiki/Haversine_formula)
[the US was supposed to convert to the metric system in 1975](https://en.wikipedia.org/wiki/Metrication_in_the_United_States)
[Great Circle Mapper](http://www.gcmap.com/)

and I take the screen shot about relevant lecture which will sent you later.

For question 5: Image compression with singular value decomposition
The question is about Image compression with singular value decomposition, more detail are in the picture I uploaded.
I have copy the instructor’s code which will help.
The question has three sub questions

import numpy as np
from scipy import misc
import matplotlib.pyplot as plt
f = misc.face(gray=True)
plt.imshow(f, cmap=plt.cm.gray)

U, Sigma, V = np.linalg.svd(f)
print(“Shape of U:” + str(U.shape))
print(“Shape of Sigma:” + str(Sigma.shape))
print(“Shape of V:” + str(V.shape))

For question 6: Machine learning with irises
two links on the question:
[iris dataset](https://en.wikipedia.org/wiki/Iris_flower_data_set)
[scikit-learn SVM classifier](http://scikit-learn.org/stable/modules/svm.html#svm-mathematical-formulation)

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