123k views
4 votes
What is a reduced row echelon form?

User Danitza
by
8.4k points

1 Answer

1 vote

Answer: A reduced row echelon form (RREF) is a way of transforming a matrix into a simplified form that makes it easier to perform operations such as solving systems of linear equations. A matrix is in reduced row echelon form when it satisfies the following properties:

The first non-zero element in each row, called a pivot, is 1.

Each pivot is the only non-zero element in its column.

The rows above a pivot are zero except for the pivot.

The rows below a pivot are zero.

The columns to the right of a pivot contain only zeros.

An RREF matrix can be used to identify the solutions to a system of linear equations, or to determine if the system has no solutions or infinitely many solutions.

Explanation:

User Blearn
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories