3) Find the rank of the matrix A [1 3 1 -2 -3 1 A= 4 3 -1 -4 23 -4 -7 -3 3 8 1 -7 -81

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Pp# 3: can you help me solve and understand this practice problem please? A step by step explanation would be appreciated. Thank you!
3) Find the rank of the matrix A
r1
3
1
-2 -3
4
1
A=
2.
3.
-4 -7
-7
-1
-4
-3
[3 8
1
-8
Transcribed Image Text:3) Find the rank of the matrix A r1 3 1 -2 -3 4 1 A= 2. 3. -4 -7 -7 -1 -4 -3 [3 8 1 -8
Expert Solution
Step 1

Consider the matrix 

A=1312143123473817  3438

 

Step 2

A=1312143123473817  3438

Apply row operation R2R2R1,  R3R32R1, and R4R43R1

A=1312012103630121  3131

Apply row operation R3R3+3R2 

A=1312012100000121  3101

Apply row operation R4R4+R1

A=1312012100000000  3100

There are two pivots, hence there are two linear independent rows.

Rank of A =2

 

 

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education