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

Question

Jake Jackson

Mathematics

5 June, 20:37

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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Answers (1)

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Brownie · Answer 1

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.