Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Given that A is a 3 by 3 matrix and the det(A) = 4. We created a new matrix B from A by switching the row 1 and row 2 (This is the first elementary row operation). What is the det(B)? O-4 04 O We cannot find with the information given O 8

Given that A is a 3 by 3 matrix and the det(A) = 4. We created a new matrix B from A by switching the row 1 and row 2 (This is the first elementary row operation). What is the det(B)? O-4 04 O We cannot find with the information given O 8

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
**Question:** Given that A is a 3 by 3 matrix and det(A) = 4. We created a new matrix B from A by switching row 1 and row 2 (This is the first elementary row operation). What is the det(B)? - ❍ -4 - ❍ 4 - ❍ We cannot find with the information given - ❍ 8 **Explanation:** When performing the first elementary row operation of switching two rows in a matrix, the determinant of the new matrix is the negative of the determinant of the original matrix. Therefore, for matrix B, det(B) = -det(A). Given that det(A) = 4, det(B) = -4. Thus, the correct answer is -4.
Transcribed Image Text:**Question:** Given that A is a 3 by 3 matrix and det(A) = 4. We created a new matrix B from A by switching row 1 and row 2 (This is the first elementary row operation). What is the det(B)? - ❍ -4 - ❍ 4 - ❍ We cannot find with the information given - ❍ 8 **Explanation:** When performing the first elementary row operation of switching two rows in a matrix, the determinant of the new matrix is the negative of the determinant of the original matrix. Therefore, for matrix B, det(B) = -det(A). Given that det(A) = 4, det(B) = -4. Thus, the correct answer is -4.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS