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01-02-2020
Mathematics

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Suppose that a system of linear equations has 3×5 augmented matrix whose 5th column is a pivot column. Is the system consistent? Explain.

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amnabaloch112 amnabaloch112

01-02-2020

No, the system is inconsistent.

Step-by-step explanation:

If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.

So, the system of linear equations is inconsistent.

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