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• List the free variables. • Write the general solution of the corresponding system of linear equations. • What is the rank of the coefficient matrix? What is the rank of the augmented matrix?

• List the free variables. • Write the general solution of the corresponding system of linear equations. • What is the rank of the coefficient matrix? What is the rank of the augmented matrix?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the following are augmented matrices. (a) 1 0 2 4 0 1 -3 5 -6 0 0 0 0 00 (b) 2 4 1 1 0 0 1-3 5 -6 0 0 10 0 0 1 (c) 1 -2 0 3 0 4 1 2 0 9 0 0 18/ b Enimonb lo olnn 1, 0 0 पतं • List the free variables. • Write the general solution of the corresponding system of linear equations. • What is the rank of the coefficient matrix? What is the rank of the augmented matrix?
Transcribed Image Text:2. Consider the following are augmented matrices. (a) 1 0 2 4 0 1 -3 5 -6 0 0 0 0 00 (b) 2 4 1 1 0 0 1-3 5 -6 0 0 10 0 0 1 (c) 1 -2 0 3 0 4 1 2 0 9 0 0 18/ b Enimonb lo olnn 1, 0 0 पतं • List the free variables. • Write the general solution of the corresponding system of linear equations. • What is the rank of the coefficient matrix? What is the rank of the augmented matrix?
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