Explanation An elementary matrix is any matrix that can be obtained by performing an elementary row operation on an identity matrix. Given, A = [ 1 2 − 1 1 1 1 1 − 1 0 ] , B = [ 1 − 1 0 1 1 1 1 2 − 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 EB = A, we need to obtain A by performing elementary row operation on B

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Author: David Poole

Publisher: Cengage Learning

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Chapter 3.3, Problem 25EQ

To determine

To find: An elementary matrix E such that EB = A, 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]

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Chapter 3.3, Problem 24EQ

Chapter 3.3, Problem 26EQ

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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...

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An elementary matrix E such that EB = A, 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.

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To find: An elementary matrix E such that EB = A, 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 EB = A, 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 EB = A, 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 EB = A, 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]