Determine whether the matrix is elementary. If it is, state the elementary row operation used to produce it. 1 0 0 0 0 1 0 0 -5 0 1 0 0 0 0 1 The matrix is elementary. It can be obtained from the identity matrix by interchanging two rows. The matrix is elementary. It can be obtained from the identity matrix by multiplying a row by a nonzero constant. The matrix is elementary. It can be obtained from the identity matrix by adding a multiple of a row to another row. The matrix is not elementary.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 90E
icon
Related questions
Question
Determine whether the matrix is elementary. If it is, state the elementary row operation used to produce it.
1 0 0 0
0 1 0 0
-5 0 1 0
0 0 0 1
The matrix is elementary. It can be obtained from the identity matrix by interchanging two rows.
The matrix is elementary. It can be obtained from the identity matrix by multiplying a row by a nonzero constant.
The matrix is elementary. It can be obtained from the identity matrix by adding a multiple of a row to another row.
The matrix is not elementary.
O O O
Transcribed Image Text:Determine whether the matrix is elementary. If it is, state the elementary row operation used to produce it. 1 0 0 0 0 1 0 0 -5 0 1 0 0 0 0 1 The matrix is elementary. It can be obtained from the identity matrix by interchanging two rows. The matrix is elementary. It can be obtained from the identity matrix by multiplying a row by a nonzero constant. The matrix is elementary. It can be obtained from the identity matrix by adding a multiple of a row to another row. The matrix is not elementary. O O O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Matrix Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage