Suppose that A is a 3 x 3 matrix. For each of the question (a)-(d), find the elementary matrix E such that EA gives the matrix resulting from A after the given row operation is performed. Then give E ¹ -18881-18881 = a. b. R3 ← -3R3 (1888)-- 18881 -18881-1888) d. R₂ - 18881-18881 E = E E = E =

Algebra and Trigonometry (6th Edition)
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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,...
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Suppose that A is a 3 x 3 matrix. For each of the question (a)-(d), find the elementary matrix E such
that EA gives the matrix resulting from A after the given row operation is performed. Then give E ¹.
E
b. R3
1888) -- 18881
- (888)-(1888)
18881-18881
E =
E
=
a. R₂ ←
E =
C. R₁ R3
E =
-3R3
d. R₂ R₂ + 5R3
E=
E-¹ =
Transcribed Image Text:Suppose that A is a 3 x 3 matrix. For each of the question (a)-(d), find the elementary matrix E such that EA gives the matrix resulting from A after the given row operation is performed. Then give E ¹. E b. R3 1888) -- 18881 - (888)-(1888) 18881-18881 E = E = a. R₂ ← E = C. R₁ R3 E = -3R3 d. R₂ R₂ + 5R3 E= E-¹ =
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