   Chapter 11.CT, Problem 1CT ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 1-4 ■ Determine whether the matrix is in reduced row-echelon form, row echelon form, or neither. [ 1 8 0 0 0 1 7 10 0 0 0 0 ]

To determine

To solve:

Whether the matrix is in reduced row-echelon form, row echelon form, or neither

Explanation

Given:

The matrix 

Approach:

The definitions of reduced row-echelon form and row echelon form

1. The first nonzero entry in each row (the leading entry) is the number 1.

2. The leading entry of each row is to the right of the leading entry in the row immediately above it.

3. All rows consisting entirely of zeros are the bottom of the matrix

If the matrix also satisfies the following condition, it is in reduced row-echelon form.

4. If a column contains a leading entry, then every other entry in that column is 0.

Calculation:

1. The first nonzero entry in each row(the leading entry) is the number 1

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