Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Expert Solution & Answer
Chapter 2, Problem 6RP
Explanation of Solution
Expressing the given
Consider the following table,
Course | ||||
Student | 1 | 2 | 3 | 4 |
1 | 3.6 | 3.8 | 2.6 | 3.4 |
2 | 2.7 | 3.1 | 2.9 | 3.6 |
Suppose
The grades of first student in 4-credit courses is as follows:
Similarly, the grades of first student in 3-credit courses is as follows:
The grades of second student in 4-credit courses is as follows:
Expert Solution & Answer
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Solving Equations Using Matrix
Perform the following Matrix Operations for the predefined matrices.
Given the System of equations:
2х + 4у—5z + Зw %3D — 33
Зх + 5у-2г + бw %3D —37
x- 2y + 4z – 2w = 25
Зх + 5у—3г + Зw %3D - 28
Write the systems as Ax = b, where A is the coefficient matrix and b is the vector for the constants.
1. Encode the Matrix A and the column vector b.
2. Solve for Determinant of A.
3. Find the Inverse of A.
4. Find the Eigenvalues of A.
5. Form the Reduced Row Echelon of A.
6. Find the number of rows and number of columns of Ab.
7. Find the sum of the columns of A.
8. In each of the columns of A, find the highest values and its indices.
9. Augment A with b;
10. Determine the Rank of Ab
11. Find blA
12. Form the Reduced Row Echelon of Ab.
13. Extract the Last Column of the Reduced Row Echelon Form of Ab.
14. Create a matrixA whose elements are the same as matrix A, but the first column is the column vector b.
15. Create a matrix A whose elements are the same as…
5. Solve the equations below :
2x-y+z= 4
X+ y+z = 3
3x- y-z =1
Hint : The solution of the equation AX=B is: X=A"B. Where A is the variables coefficient
matrix, X is the variables column vector and B is the constants column vector.
Chapter 2 Solutions
Operations Research : Applications and Algorithms
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - Prob. 7PCh. 2.2 - Prob. 1PCh. 2.3 - Prob. 1PCh. 2.3 - Prob. 2P
Ch. 2.3 - Prob. 3PCh. 2.3 - Prob. 4PCh. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Prob. 9PCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.6 - Prob. 1PCh. 2.6 - Prob. 2PCh. 2.6 - Prob. 3PCh. 2.6 - Prob. 4PCh. 2 - Prob. 1RPCh. 2 - Prob. 2RPCh. 2 - Prob. 3RPCh. 2 - Prob. 4RPCh. 2 - Prob. 5RPCh. 2 - Prob. 6RPCh. 2 - Prob. 7RPCh. 2 - Prob. 8RPCh. 2 - Prob. 9RPCh. 2 - Prob. 10RPCh. 2 - Prob. 11RPCh. 2 - Prob. 12RPCh. 2 - Prob. 13RPCh. 2 - Prob. 14RPCh. 2 - Prob. 15RPCh. 2 - Prob. 16RPCh. 2 - Prob. 17RPCh. 2 - Prob. 18RPCh. 2 - Prob. 19RPCh. 2 - Prob. 20RPCh. 2 - Prob. 21RPCh. 2 - Prob. 22RP
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