<jupyter_start><jupyter_text>PROBLEM NUMBER 1<jupyter_code>import numpy as np
eq1 = np.array([[1,1,1],[1,0,4],[0,0,5]])
eq2 = np.array([[89],[89],[95]])
amt = np.linalg.inv(eq1).dot(eq2)
print(amt)<jupyter_output>[[13.]
 [57.]
 [19.]]<jupyter_text>PROBLEM NUMBER 2<jupyter_code><jupyter_output><empty_output><jupyter_text>PROBLEM NUMBER 3<jupyter_code>import numpy as np
from scipy.linalg import solve
from numpy.linalg import eig

A = np.array([[8, 5, -6],
              [-12, 9, 12],
              [-3, -3, 5]])
w,v = np.linalg.eig(A)
print("THE EIGENVALUES IS/ARE:",w)
print("THE RIGHT EIGENVECTORS ARE:",v)<jupyter_output>THE EIGENVALUES IS/ARE: [10.+9.74679434j 10.-9.74679434j  2.+0.j        ]
THE RIGHT EIGENVECTORS ARE: [[-6.19826768e-02-0.44653265j -6.19826768e-02+0.44653265j
   7.07106781e-01+0.j        ]
 [ 8.56977879e-01+0.j          8.56977879e-01-0.j
  -1.66861154e-16+0.j        ]
 [ 9.43214647e-03+0.24953295j  9.43214647e-03-0.24953295j
   7.07106781e-01+0.j        ]]
{'fraction_non_alphanumeric': 0.18541033434650456, 'fraction_numerical': 0.20567375886524822, 'mean_word_length': 3.552995391705069, 'pattern_counts': {'":': 0, '<': 11, '<?xml version=': 0, '>': 11, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
{'chain_length': '3', 'dir': 'jupyter-structured-clean-dedup', 'id': '317571', 'license': 'Apache-2.0', 'n_tokens_mistral': 595, 'n_tokens_neox': 485, 'n_words': 67, 'path': 'Finals_Exam.ipynb', 'repo_name': 'kobebryantandlebron/Linear-Algebra-58019', 'size': '987'}