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

Question

Mathematics

Lillianna Montoya

10 November, 07:05

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

+3

Answers (1)

Know the Answer?

Clark Nelson · 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.