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

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Mathematics

Elsa Holder

4 April, 03:16

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

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Adalynn Huff · Answer 1

Answer and Step-by-step explanation:

A system of linear equation is said to be consistent on one condition: if the column at the rightmost corner of the augmented matrix is not a pivot column. And that is also on one condition: if there is no row of the form [0 ... 0 y] where y is nonzero in an echelon form of the augmented matrix.