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. Another linear system:
(i) Consider the linear system
4x1 − 7x2 = −33
−3x1 + 8x2 = 44
−3x1 + 7x2 = 37
Note that there are three equations in only two unknowns. Write the solution values
of x1, and x2 in the comments, and it not consistent, explain why. Why is the solution
not the augmented column of the RREF in this case?
(ii) Explain in the comments using precise terminology from the class the answer to the following questions: (1) What are the conditions for the augmented column of
the RREF to be the solution to the system? (2) In the case of a unique solution to
a system with more equations than variables, how should the solutions be obtained from the RREF? (3) In the case of a consistent system where there are more variables
than equations, what information is contained in the augmented column of the
RREF?

Sagot :

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