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Need to know how to solve problem? 12 points] Consider the matrix-chain multiply problem for a...
15.2-1 -- Find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is (5, 10, 3, 12, 5, 50, 6). 5. -- Implement Matrix-ChainMultiply(A,s,i,j) using algorithm Matrix-Chain-Order and Matrix-Multiply, where Matrix-Multiply(X,Y, p,q,r) multiplies matrices X and Y, X and Y have pxq and qxr demension, respectively. Given a chain of 6 matrices whose dimensions are given in 15.2-1, and elements are random real numbers from -10 to 10, use Matrix-Chian-ultiply to calculate the product of these matrices.
Consider the following matrices for the matrix-chain multiplication problem: A1: 30 × 5 A2: 5 × 40 A3: 40 × 10 A4: 10 × 25 A5: 25 × 20 Compute the values of M[i, j], 1 ≤ i ≤ j ≤ 5 and s[i, j], 1 ≤ i < j ≤ 5. Show the optimal factorization found.
Q4 and Q5 thanks! 4. Consider the Markov chain on S (1,2,3,4,5] running according to the transition probability matrix 1/3 1/3 0 1/3 0 0 1/2 0 0 1/2 P=10 0 1/43/40 0 0 1/2 1/2 0 0 1/2 0 0 1/2 (a) Find inn p k for j, k#1, 2, ,5 (b) If the chain starts in state 1, what is the expected number of times the chain -+00 spends in state 1? (including the starting point). (c) If...
Please answer this in specific way,thanks. 1. A Markov chain X = (X2) >0 with state space I = {A, B, C} has a one-step transition matrix P given by 70 2/3 1/3) P= 1/3 0 2/3 (1/6 1/3 1/2) (a) Find the eigenvalues 11, 12, 13 of P. (b) Deduce pn can be written as pn = 10 + XU, + Aug (n > 0) and determine the matrices U1, U2, U3 by using the equations n = 0,1,2....
(10 points) Consider a Markov chain (Xn)n-0,1,2 probability matrix with state space S ,2,3) and transition 1/5 3/5 1/5 P-0 1/2 1/2 3/10 7/10 0 The initial distribution is given by (1/2,1/6,1/3). Compute (a) P[X2-k for all k- 1,2,3 (b) E[X2] Does the distribution of X2 computed in (a) depend on the initial distribution a? Does the expected value of X2 computed in (b) depend on the nitial distribution a? Give a reason for both of your answers.
Q5. Consider a Markov chain {Xn|n ≥ 0} with state space S = {0, 1, · · · } and transition matrix (pij ). Find (in terms QA for appropriate A) P{ max 0≤k≤n Xk ≤ m|X0 = i} . Q6. (Flexible Manufacturing System). Consider a machine which can produce three types of parts. Let Xn denote the state of the machine in the nth time period [n, n + 1) which takes values in {0, 1, 2, 3}. Here...
ints) For the following mechanism: a. Determine the number of links in the mechanism b. Determine the total joint order in the mechanism c. Determine the number of loops required for this mechanism d. Determine the mobility of this mechanism e. Draw an appropriate vector loop for this mechanism f. Write the vector loop equation(s) in vector form. g. Write the scalar components of the vector loop position equations. h. Determine any geometric constraint equations. i. Determine the scalar known(s)....
Problem 5. Indicator variables S points possible (graded) Consider a sequence of n 1 independent tosses of a biased coin, at times k = 0,1,2,...,n On each toss, the probability of Heads is p, and the probability of Tails is 1 -p {1,2,.., at time for E resulted in Tails and the toss at time - 1 resulted in A reward of one unit is given if the toss at time Heads. Otherwise, no reward is given at time Let...
What is the differance between these two questions and how I can defer between them to know which theorem I should use while solving question to find matrix A Theorem 2: lf S={5-s,, , s. and R={万佐, ,r;"} are ordered bases for vector spaces V and W respectively, then corresponding to each linear transformation L from V →W , there is an m x n matrix A such that for each ve V·A is the matrix representing L relative to...
I will upvote if u will solve What u need? DFT can also be obtained using matrix multiplication. Let X[r] show the transformed values and x[n] show the original signal. Using the analysis equation: Using matrix multiplication, this operation can be written as x[O X[1 1 e(2m/N) e-K4n/N) x12] [N-1]] e-j(2(N-1)T/N)e-j(4(N-1)m/N) Instead of huilt-in EFT function use matrix multinlication to solve 3th auestion [ 1 e-/(2(N-1)(N-1)T/N)]Le[N-1] DFT is an extension of DTFT in which frequency is discretized to a finite...