Solved: Restate the last sentence in Theorem 2 using the

Chapter 1, Problem 27E

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QUESTION:

PROBLEM 27E

Restate the last sentence in Theorem 2 using the concept of pivot columns: “If a linear system is consistent, then the solution is unique if and only if ____________________.”

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QUESTION:

PROBLEM 27E

Restate the last sentence in Theorem 2 using the concept of pivot columns: “If a linear system is consistent, then the solution is unique if and only if ____________________.”

ANSWER:

Solution :

Step 1 :

A linear system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column that is if and only if an echelon form of the augmented matrix has no row of the form

[0        0………………………… a  ] with a non zero ,

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