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Write your own python code to solve the system of equations by finding the PA=LU factorization and then carrying out the two-step back substitution. Print

Write your own python code to solve the system of equations by finding the PA=LU factorization and then carrying out the two-step back substitution. Print out the solution x and the P, L, U matrices. (Do NOT use the exist function like scipy.linalg.lu)

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