A linear system with no free variables: Consider the linear system Xị + 2x2 + 33 = 115 2x1 – x2 + 3x3 = 1421 4x1 – x2 + 12x3 = 4214 You'll solve this linear system in a few ways: (a) First, enter the coefficient matrix for this system as the variable “A", and the right- hand side as the column vector "b". Next, enter the command "A \ b", which outputs the (in this case, unique) solution to this linear system. (b) (*) Second, enter the augmented matrix as the variable “M". In the next line, run the command rref (M), which outputs the row reduced echelon form of M. Note that there are no free variables. Explain, in words, why in this case we have that the last column of M is the (unique) solution to the original linear system. If you did everything right, you should find that this solution is the same as that you found in part (a).

A linear system with no free variables: Consider the linear system Xị + 2x2 + 33 = 115 2x1 – x2 + 3x3 = 1421 4x1 – x2 + 12x3 = 4214 You'll solve this linear system in a few ways: (a) First, enter the coefficient matrix for this system as the variable “A", and the right- hand side as the column vector "b". Next, enter the command "A \ b", which outputs the (in this case, unique) solution to this linear system. (b) (*) Second, enter the augmented matrix as the variable “M". In the next line, run the command rref (M), which outputs the row reduced echelon form of M. Note that there are no free variables. Explain, in words, why in this case we have that the last column of M is the (unique) solution to the original linear system. If you did everything right, you should find that this solution is the same as that you found in part (a).

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Description: Matlab Questionnumbered problem with a “%%” comment header, Problems marked with a (*) require some written explanation to answer: for these, include your explanation a comments in the corresponding section. 2. A linear system with no free variables:

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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