# Basis maths-linear algebra-Q6

+1 vote

A pivot position in a matrix is a location in any row of that corresponds to a leading 1 in the reduced echelon form of .  A pivot column is a column of that contains a pivot position. Or equivalently, A pivot position in a matrix is a location in any row of that corresponds to a leading entry in a row (left most non-zero entry) in any echelon form of .  A pivot column is a column of A that contains a pivot position.

Suppose a system of linear equations (L) has $3 \times 5$ augmented matrix whose fifth column is one of the pivot columns.

Which of the following is True?

(A). System L is consistent and has unique solution

(B). System L is consistent and has infinitely many solutions

(C). System L is inconsistent

(D). Information not sufficient