Question

Every row echelon form of a matrix is reduced row echelon form.

(True/ False) Justify your answer.​

Answer 1

Answer:

THE ANSWER TO THIS QUESTION IS TRUE

Step-by-step explanation:

• The matrix is made to echelon form to ensure that we can find the solution to a system of linear equation.
• A combination matrix called a "AUGMENTED MATRIX" which is a 3×4 matrix is initially made using the system of equations.
• By finite number of row operations we reduce the augmented matrix to an echelon form
• The element at the very last column of this reduced form corresponds to the solution of the system .
• Therefore every row echelon form of a matrix is reduced to row echelon form.
• A sample echelon matrix is shown below.