Explanation An elementary matrix is any matrix that can be obtained by performing an elementary row operation on an identity matrix. Given, C = [ 1 2 − 1 1 1 1 2 1 − 1 ] , D = [ 1 2 − 1 − 3 − 1 3 2 1 − 1 ] Here identity matrix I 3 will be I 3 = [ 1 0 0 0 1 0 0 0 1 ] In order to determine elementary matrix E such that EC = D, we need to obtain D by performing elementary row operation on C. C = [ 1 2 − 1 1 1 1 2 1 − 1 ] → R 2 → R 2 − 2

4th Edition

ISBN: 9781285463247

Author: David Poole

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 3.3, Problem 28EQ

To determine

To find: An elementary matrix E such that EC = D, where it is given that

A=[1 2−11 1 11−1 0], B=[1−1 01 1 11 2−1],C=[12−111 121−1], and D=[ 1 2−1−3−1 3 2 1−1]

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.3, Problem 27EQ

Chapter 3.3, Problem 29EQ

Students have asked these similar questions

In Exercises 21-24, calculate det(A). 1 −1 2 3001 2 1 20 3112 21. A = 2

Convert the following LP into the standard form: 2x1 + 5x2 + 3x3 s.t. x1 – 2x2 + x3 > 20 max z = - 2x1 + 4x2 + X3 3x1 + x3 0 Хз free

and y = Ifα = -3, then

Chapter 3 Solutions

Linear Algebra: A Modern Introduction

Ch. 3.1 - Let...Ch. 3.1 - Let In Exercises 1-16, compute the indicated...Ch. 3.1 - Let...Ch. 3.1 - Let In Exercises 1-16, compute the indicated...Ch. 3.1 - Let...Ch. 3.1 - Let In Exercises 1-16, compute the indicated...Ch. 3.1 - Let In Exercises 1-16, compute the indicated...Ch. 3.1 - Let...Ch. 3.1 - Let...Ch. 3.1 - Let...

Knowledge Booster

$Algebra$

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.

An elementary matrix E such that EC = D, where it is given that A = [ 1 2 − 1 1 1 1 1 − 1 0 ] , B = [ 1 − 1 0 1 1 1 1 2 − 1 ] , C = [ 1 2 − 1 1 1 1 2 1 − 1 ] , a n d D = [ 1 2 − 1 − 3 − 1 3 2 1 − 1 ]

Solution Summary: The author explains that elementary matrix E is any matrix that can be obtained by performing an elementary row operation on an identity matrix.

Videos

To find: An elementary matrix E such that EC = D, where it is given that

A=[1 2−11 1 11−1 0], B=[1−1 01 1 11 2−1],C=[12−111 121−1], and D=[ 1 2−1−3−1 3 2 1−1]

Want to see the full answer?

Chapter 3 Solutions

An elementary matrix E such that EC = D, where it is given that A = [ 1 2 − 1 1 1 1 1 − 1 0 ] , B = [ 1 − 1 0 1 1 1 1 2 − 1 ] , C = [ 1 2 − 1 1 1 1 2 1 − 1 ] , a n d D = [ 1 2 − 1 − 3 − 1 3 2 1 − 1 ]

Solution Summary: The author explains that elementary matrix E is any matrix that can be obtained by performing an elementary row operation on an identity matrix.

Videos

To find: An elementary matrix E such that EC = D, where it is given that A=[1 2−11 1 11−1 0], B=[1−1 01 1 11 2−1],C=[12−111 121−1], and D=[ 1 2−1−3−1 3 2 1−1]

Want to see the full answer?

Chapter 3 Solutions

To find: An elementary matrix E such that EC = D, where it is given that

A=[1 2−11 1 11−1 0], B=[1−1 01 1 11 2−1],C=[12−111 121−1], and D=[ 1 2−1−3−1 3 2 1−1]