Do not use built in programs to do the following. Write the programs to demonstrate that you understand the math behind them. Provide all solutions in an .html file. a) Write a Python program to...

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Extracted text: Do not use built in programs to do the following. Write the programs to demonstrate that you understand the math behind them. Provide all solutions in an .html file. a) Write a Python program to compute the eigenvalues and eigenvectors of a given square array. b) Write a Python program that solves a system of inequalities with 4 x 4 square matrix A where Ax=b