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Design and Analysis of Algorithms Find the minimum number of operations required for the following matrix chain multiplication using dynamic programming. Also discuss the complexity involved. A(10 \times 20) * B(20 \times 50) * C(50 \times 1) * D(1 \times 100)20227mDesign and Analysis of Algorithms We are given the sequence \{4, 10, 3, 12, 20, \text{and } 7\}. The matrices have size 4 \times 10, 10 \times 3, 3 \times 12, 12 \times 20, 20 \times 7. Find the most efficient way to multiply these matrices together using dynamic programming. The efficient way is the one that involves the least number of multiplications. Write all the steps with time complexity.202314mDesign & Analysis of AlgorithmsFind the optimal way to multiply the following matrices to perform the fewest multiplications: | Matrix | Dimension | | :--- | :--- | | A_1 | 5 \times 11 | | A_2 | 11 \times 4 | | A_3 | 4 \times 15 | | A_4 | 15 \times 23 |202214mDesign & Analysis of AlgorithmsWhat is the time complexity of the matrix multiplication and Strassen's algorithm?20197m
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