Assume that A is a matrix with four rows. Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed. Then find and giv elementary row operation corresponding to E ¹. 1R₁ ⇒ R₁ E =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Assume that A is a matrix with four rows. Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed. Then find E-¹ and give the
elementary row operation corresponding to E-¹
1R₁ ⇒ R₁
E =
E-¹-
The element
L
row ope
OA.R₁⇒ R₁
OB. R3 R₁
OC. R₁ + R3 ⇒ R₁
OD. 1R₁ ⇒ R₁
OE. R3
R3
corresponding to E-¹ is:
Transcribed Image Text:Assume that A is a matrix with four rows. Find the elementary matrix E such that E A gives the matrix resulting from A after the given row operation is performed. Then find E-¹ and give the elementary row operation corresponding to E-¹ 1R₁ ⇒ R₁ E = E-¹- The element L row ope OA.R₁⇒ R₁ OB. R3 R₁ OC. R₁ + R3 ⇒ R₁ OD. 1R₁ ⇒ R₁ OE. R3 R3 corresponding to E-¹ is:
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