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1. Encode the Matrix A and the column vector b. 2. Solve for Determinant of A. 3. Find the Inverse of A.

1. Encode the Matrix A and the column vector b. 2. Solve for Determinant of A. 3. Find the Inverse of A.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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17 %In each of the columns of A, find the highest values and its indices.Set as highA and locA. 18 highA= 19 locA= 20 %Augment A with b; Set as Ab. 21 Ab= 22 %Determine the Rank of Ab. Set as RankA. 23 RankA= 24 % Find b\A. Set as Root1. 25 Root1= 26 %Form the Reduced Row Echelon Form of Ab. Set as refAb. 27 refAb= 28 %Extract the last column of refAb.Set as Root2. 29 Root2= 30 %Create a matrix A whose elements are the same as matrix A, but the first column is the column vector b. Set as Ax. 31 Ax= 32 %Create a matrix A whose elements are the same as matrix A, but the second column is the column vector b. Set as Ay. 33 Ay= 34 %Create a matrix A whose elements are the same as matrix A, but the third column is the column vector b. Set as Az. 35 Az= 36 %Create a matrix A whose elements are the same as matrix A, but the fourth column is the column vector b. Set as Aw. 37 Aw= 38 %Find x using Cramer's Rule. 39 40 %Find y using Cramer's Rule. 41 42 %Find z using Cramer's Rule. 43 44 %Find w using Cramer's Rule. 45 46 %Combine x,y,z and w as column vector Root3. 47
Transcribed Image Text:17 %In each of the columns of A, find the highest values and its indices.Set as highA and locA. 18 highA= 19 locA= 20 %Augment A with b; Set as Ab. 21 Ab= 22 %Determine the Rank of Ab. Set as RankA. 23 RankA= 24 % Find b\A. Set as Root1. 25 Root1= 26 %Form the Reduced Row Echelon Form of Ab. Set as refAb. 27 refAb= 28 %Extract the last column of refAb.Set as Root2. 29 Root2= 30 %Create a matrix A whose elements are the same as matrix A, but the first column is the column vector b. Set as Ax. 31 Ax= 32 %Create a matrix A whose elements are the same as matrix A, but the second column is the column vector b. Set as Ay. 33 Ay= 34 %Create a matrix A whose elements are the same as matrix A, but the third column is the column vector b. Set as Az. 35 Az= 36 %Create a matrix A whose elements are the same as matrix A, but the fourth column is the column vector b. Set as Aw. 37 Aw= 38 %Find x using Cramer's Rule. 39 40 %Find y using Cramer's Rule. 41 42 %Find z using Cramer's Rule. 43 44 %Find w using Cramer's Rule. 45 46 %Combine x,y,z and w as column vector Root3. 47
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 matrix A, but the second column is the column vector b. 16. Create a matrix A whose elements are the same as matrix A, but the third column is the column vector b.
Transcribed Image Text: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 matrix A, but the second column is the column vector b. 16. Create a matrix A whose elements are the same as matrix A, but the third column is the column vector b.
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