Question: Help me solve this question : 8. Prove the fact on page 114 in section 2.3: Let A and B be square matrices. If AB

Help me solve this question :

8. Prove the fact on page 114 in section 2.3: Let A and B be square matrices. If AB = I, then A and B are both invertible, with B = A'1 and A = Bl. 10. Complete all parts: (a) Use the algorithm in section 35 to find the LU factorization of matrix (for full credit show work!): N . CO A = 4 5 9 (b) Solve At = 6 where b = 15 using the LU decomposition found in (a). Hint: Two systems are solved! See example 1 in 3 2.5

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