For the following stress tensors: a) calculate the eigenvalues (principal stresses), b) calculate eigenvectors (principal directions), c) answer what the stress regime is, and d) calculate the angle between the North and the direction of in clockwise direction:
- North Colorado:
- North-East North Dakota:
Notes: Compare your solutions with expectations of the US stress map (https://www.usgs.gov/media/images/new-us-stress-map). You may use Python, Matlab, Wolfram Alpha (https://www.wolframalpha.com/), or a calculator that supports linear algebra to solve this problem.