Apply the DP based MCM algorithm to determine optimal parenthesization among the following matrices: A17 x 1 A21 x 5 A35 x 4 A44 x 2
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Apply the DP based MCM
- A17 x 1
- A21 x 5
- A35 x 4
- A44 x 2
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- I want unique answer Apply the DP based MCM algorithm to determine optimal parenthesization among the following matrices: A17 x 1 A21 x 5 A35 x 4 A44 x 2Consider the matrices are given the sequence {4, 10, 3, 12, 20, and 7} values of dimension array p in matrix chain multiplication, then optimal value of MCM matrix M [2, 4] when indices are starting from 1 not 0 A- M [2, 4] = 1320 B- M [2, 4] = 2760 C- M [2, 4] = 1080 D- M [2, 4] = 1344Consider the chain of matrices below. M = M1 x M2 x M3 x M4 [15 x 5] [5 x 25] [25 x 30] [30 x 45] (a) Show the complete table used by the dynamic programming algorithm for the matrix chain problem.
- MATLAB Exercise: 1. Generate a 1 x 3 matrix whose entries are the coefficients of the polynomial N(s) = 2s2 + 3s - 1 2. Generate a 1 x 4 matrix whose entries are the coefficients of the polynomial D(s) = s3 +6s2 + 11s - 6 3. Determine the convolution of N(s) and D(s)Suppose a 2D bounding box is given by (≤ is "less than or equal to"): -1 ≤ x ≤ 1-10 ≤ y ≤ 10 Compute the new Bounding Box for the transformation given by the following matrix: (see section 9.4.4) 0.866 -0.5 0.5 0.866 Now enter the xmax for the new Bounding Box (round it to 3 decimal places, if needed).Given an m × n binary matrix consisting of 0’s and 1’s, find the maximum size square sub-matrix consisting of only 1’s. Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.
- Find the optimal order, and its cost, for evaluating the product A1×A2×A3×A4 where: A1 is (5×2),A2 is (2×3),A3 is (3×4),A4 is (4×6) Show the values of M (used for optimization) and P (used for storing the path) matrices, produced by the algorithm.Use Floyd-Warshall algorithm to determine the values of D(1), D(2), Π(0), Π(1), and Π(2). The D(0) matrix is given below:D(0) = 0 -5 ∞ 2 ∞ 0 3 -4 7 1 0 ∞ ∞ ∞ 8 0Calculate time complexity using amortized analysis
- Please find an optimal parenthesization of a matrix chain product whose sequence of dimensions is <10, 5, 10, 4, 8>. Please show your works. Also, explain the computational complexity and real cost of calculating the matrix chain product.Minimize using Q-M f(a,b,c,d,e) = £m(0,1,4,5,6,13,14,15,22,24,25,28,29,30,31)Consider the following R code. >x = matrix(rnorm(n=500), ncol= 5) >var x = var(x). starting with var x, use 2 application s of the sweep() function, one dividing each row of the matrix and the other dividing each column, of a covariance matrix to obtain R, the correlation matrix.