Let

Using Python,

1. Find the LU - Factorization of and use it to solve .

2. Find the Cholesky Factorization of .

Please provide the code for both answers.

1 = 7 1 6 9 10 -8 -8 10 -2 9 -7 9 3 10 6 -8 10 10 -50 3 AAT AATI = b