Use the dynamic programming technique to find an optimal parenthesization of a matrix-chain product whose sequence...
Use the dynamic programming technique to find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is <5, 8, 4, 10, 7, 50, 6>.
Matrix Dimension
A1 5*8
A2 8*4
A3 4*10
A4 10*7
A5 7*50
A6 50*6
You may do this either by implementing the MATRIX-CHAIN-ORDER algorithm in the text or by simulating the algorithm by hand. In either case, show the dynamic programming tables at the end of the computation.
Using Floyd’s algorithm (See Dynamic Programming slide 54), calculate the length of the shortest path between each pair of nodes in the graph by constructing a matrix. Give the each step of the adjacency matrix.
Can you try the first question in matrix-chain-order
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Add Answer to:
Use the dynamic programming technique to find
an optimal parenthesization of a matrix-chain product whose
sequence...
Use the dynamic programming technique to find an optimal parenthesization of a matrix-chain product whose sequence...
Use the dynamic programming technique to find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is <5, 8, 40, 10, 20, 6>. Matrix Dimension A1 5 * 8 A2 8*40 A3 40*10 A4 10*20 A5 20*6
15.2-1 -- Find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is (5,...
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.
Find an optimal parenthesizing to multiply the following matrices. Apply dynamic programming and show your work:...
Find an optimal parenthesizing to multiply the following matrices. Apply dynamic programming and show your work: A1 x A2 x A3 x A4 x A5 x A6 Size of A1 : 30 x 80 Size of A2 : 80 x 100 Size of A3 : 100 x 5 Size of A4 : 5 x 200 Size of A5 :200 x 7 Size of A6: 7 x 7
Find an optimal parameterization of a matrix-chain product whose sequence of dimensions is p= <6, 10,...
Find an optimal parameterization of a matrix-chain product whose sequence of dimensions is p= <6, 10, 3, 15, 8>. Show the m and s tables and the printing of an optimal parameterization. Use the algorithm learned in class. Upload a file with your solution.
READ CAREFULLY AND CODE IN C++ Dynamic Programming: Matrix Chain Multiplication Description In this assignment you...
READ CAREFULLY AND CODE IN C++
Dynamic Programming: Matrix Chain Multiplication Description In
this assignment you are asked to implement a dynamic programming
algorithm: matrix chain multiplication (chapter 15.2), where the
goal is to find the most computationally efficient matrix order
when multiplying an arbitrary number of matrices in a row. You can
assume that the entire input will be given as integers that can be
stored using the standard C++ int type and that matrix sizes will
be at...
10×8,8×6,6×15,15×12 4. [15] Dynamic Programming. We are given a set of matrices Ap.A1, A2. .. .An-1. which we must multiply in this order. We let (d, dira) be the dimension of matrix A. The minima...
10×8,8×6,6×15,15×12
4. [15] Dynamic Programming. We are given a set of matrices Ap.A1, A2. .. .An-1. which we must multiply in this order. We let (d, dira) be the dimension of matrix A. The minimal number Nij of operations required to multiply matrices (A, Ati .. A) is defined by: a. Explain this formula. Apply this formula to compute the optimal parenthetization of the product of matrices Ao-A1,Az,A3, where the dimensions of these matrices are, respectively: 6x15, and 15x12. b....
Need to know how to solve problem? 12 points] Consider the matrix-chain multiply problem for a...
Need to know how to solve problem?
12 points] Consider the matrix-chain multiply problem for a chain AAr+.Aj. We want to parenthesize the chain to get the minimum number of scalar multiplications possible. Give the following recurrence relation, where matrix Ai has dimension pr1 x pi and the pseudocode for MATRIX-CHAIN-ORDER function below, compute matrix m and s and find which of the following 'parenthesization' (AB)C or A(BC) gives the minimum number of scalar multiplications for input pl (10, 30,...
This is programming project 1 chapter 9(Book ISBN:1292222824 (1-292-22282-4) Walter Savitch Problem Solving with C++: Global...
This is programming project 1 chapter 9(Book ISBN:1292222824
(1-292-22282-4) Walter Savitch Problem Solving with C++: Global
Edition, 10/E)
Question Do Programming Project 7 in Chapter 7 using a dynamic
array. In this version of the problem, use dynamic arrays to store
the ditits in each large integer. Allow an arbitrary number of
digits instead of capping the number of digits at 20.
TER 7/ Arrays time. For example digit at a the integer 1234 could be stored in the array...
Please use C++ as a Programming language and do the tasks specified per the Guideline above...
Please use C++ as a Programming language and do the
tasks specified per the Guideline above and include comments of
your work.
Please make sure that the following test cases are
working:
Example 1
For input D13 D60 D76 D12 A17 D98 A94 D70 D3 A23 A42 D45 A100 D50
A99 A22 A87 A4 A90 D88 A71 A20 D39 D83 A97 A56 D28 A9 D43 A19 D5
A11 A54 A73 D54 A9 A24 A58 D6 D80 A72 A47 A82 A12...
summatize the following info and break them into differeng key points. write them in yojr own...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
Find an optimal parameterization of a matrix-chain product whose sequence of dimensions is p= <6, 10, 3, 15, 8>. Show the m and s tables and the printing of an optimal parameterization. Use the algorithm learned in class. Upload a file with your solution.
READ CAREFULLY AND CODE IN C++
Dynamic Programming: Matrix Chain Multiplication Description In
this assignment you are asked to implement a dynamic programming
algorithm: matrix chain multiplication (chapter 15.2), where the
goal is to find the most computationally efficient matrix order
when multiplying an arbitrary number of matrices in a row. You can
assume that the entire input will be given as integers that can be
stored using the standard C++ int type and that matrix sizes will
be at...
10×8,8×6,6×15,15×12
4. [15] Dynamic Programming. We are given a set of matrices Ap.A1, A2. .. .An-1. which we must multiply in this order. We let (d, dira) be the dimension of matrix A. The minimal number Nij of operations required to multiply matrices (A, Ati .. A) is defined by: a. Explain this formula. Apply this formula to compute the optimal parenthetization of the product of matrices Ao-A1,Az,A3, where the dimensions of these matrices are, respectively: 6x15, and 15x12. b....
Need to know how to solve problem?
12 points] Consider the matrix-chain multiply problem for a chain AAr+.Aj. We want to parenthesize the chain to get the minimum number of scalar multiplications possible. Give the following recurrence relation, where matrix Ai has dimension pr1 x pi and the pseudocode for MATRIX-CHAIN-ORDER function below, compute matrix m and s and find which of the following 'parenthesization' (AB)C or A(BC) gives the minimum number of scalar multiplications for input pl (10, 30,...
This is programming project 1 chapter 9(Book ISBN:1292222824
(1-292-22282-4) Walter Savitch Problem Solving with C++: Global
Edition, 10/E)
Question Do Programming Project 7 in Chapter 7 using a dynamic
array. In this version of the problem, use dynamic arrays to store
the ditits in each large integer. Allow an arbitrary number of
digits instead of capping the number of digits at 20.
TER 7/ Arrays time. For example digit at a the integer 1234 could be stored in the array...
Please use C++ as a Programming language and do the
tasks specified per the Guideline above and include comments of
your work.
Please make sure that the following test cases are
working:
Example 1
For input D13 D60 D76 D12 A17 D98 A94 D70 D3 A23 A42 D45 A100 D50
A99 A22 A87 A4 A90 D88 A71 A20 D39 D83 A97 A56 D28 A9 D43 A19 D5
A11 A54 A73 D54 A9 A24 A58 D6 D80 A72 A47 A82 A12...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
Most questions answered within 3 hours.
-
Work of 1950 J is done by stirring a perfectly insulated beaker
containing 75 g of...
asked 18 minutes ago -
The neighborhood kids set up an outdoor lemonade stand in
Maryland in June. They find that...
asked 19 minutes ago -
9. A company has a beginning inventory of 4,000 units. The
company estimates it will sell...
asked 33 minutes ago -
A patient goes to the doctor's office with symptoms of a urinary
tract infection and provides...
asked 35 minutes ago -
When responding to the essay questions, be sure to cite any
material you obtained from a...
asked 35 minutes ago -
The energy of an electron in a 2.25-eV-deep potential well is
1.50 eV.At what distance into...
asked 37 minutes ago -
Q1:Which three evolutionary innovations are present in land
plants (but not all land plants) that allowed...
asked 40 minutes ago -
Lymphosarcoma is
extremely rare. Risk factors for the disease are largely unknown.
What kind of study...
asked 42 minutes ago -
The solubility of benzoic acid in water is:
0.29g/100mL at 20°C
6.8g/100mL at 100°C
a) What...
asked 43 minutes ago -
Which food law was passed in 1996 and changed how pesticide
residues on food were regulated...
asked 1 hour ago -
companies either hire outside programmers to
write_____ software or use their own internal developers.
asked 1 hour ago -
A magnetic dipole m(t) = m_0*cos(ωt) can be
described as current density j(r,t) = −cm(t) ×...
asked 1 hour ago