Which one of the following is the augmented matrix in row-echelon form for the system below?

Question

Quizplus · Accepted Answer

The augmented matrix in row-echelon form has the following characteristics:
1. The first nonzero element in each row (called pivot) is strictly to the right of the pivot of the row above it.
2. All rows consisting entirely of zeros are at the bottom of the matrix.
3. For each nonzero row, the pivot is equal to 1.
Looking at the given options, we can eliminate choices A, B, D, and E because they do not meet one or more of these characteristics. Choice C satisfies all the characteristics and is therefore the correct answer.

Which One of the Following Is the Augmented Matrix in Row-Echelon