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a) Explain the importance of optimal parenthesization in matrix chain multiplication in case of multiplication of sequence of matrices A, A2, A3 with dimensions

a) Explain the importance of optimal parenthesization in matrix chain multiplication in case of

a) Explain the importance of optimal parenthesization in matrix chain multiplication in case of multiplication of sequence of matrices A, A2, A3 with dimensions 25 15, 15 5, and 5 25 respectively. (4 marks) b) Explain the appropriateness of using Bellman-Ford Algorithm over the Dijkstra's algorithm to find out the shortest path from source X to all other vertices in case following directed graph G in Figure 1. X 18 Y - 12 Z Figure 1: Directed graph G

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