Question: For some matrices A x A X A3 x A4 x A5 x A6, I ran the dynamic programming and got the following HH

 For some matrices A x A X A3 x A4 x A5 

For some matrices A x A X A3 x A4 x A5 x A6, I ran the dynamic programming and got the following HH array: 2 1 1 0 IN 1 0 2 3 1 2 0 4 3 3 3 4 4 5 5 5 6 0 a. Find the optimal parenthesization of A x A X A3 X A X A5 x A. Justify your answer. Find the optimal parenthesization of A x A3 X A4 x A5. Justify your answer. 2 2 3 5 0 4 3 3 4 6 0 For some matrices A x A X A3 X A4 x A5 X A6, I ran the dynamic programming and got the following HH array: 2 1 1 0 IN 1 0 2 3 1 2 0 4 3 3 3 4 4 5 5 5 6 0 a. Find the optimal parenthesization of A x A X A3 X A X A5 x A. Justify your answer. Find the optimal parenthesization of A x A3 X A x A5. Justify your answer. 2 2 3 5 0 4 3 3 4 6 0

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