-25-3A =-11and B = -5-5-231-4-2Given the following descriptions, determine the following elementary matrices and their inverses.a. The elementary matrix Ej multiplies the first row of A by 1/5.E1b. The elementary matrix E2 multiplies the second row of A by -2.E2E,c. The elementary matrix E3 switches the first and second rows of A.E3Ezd. The elementary matrix E, adds 7 times the first row of A to the second row of A.88E4E,'e. The elementary matrix Es multiplies the second row of B by 1/3.E5 : E,f. The elementary matrix E6 multiplies the third row of B by -4.E6g. The elementary matrix E, switches the first and third rows of B.E7E,IIII

Given that A=-31-1-5 and B=-2-55-5-231-4-2. It is required to determine the following elementary…

1 and B =| -5 -5 A = -2 -4 -2 Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix Ej multiplies the first row of A by 1/5. E1 b. The elementary matrix E2 multiplies the second row of A by -2. E2 = E c. The elementary matrix E3 switches the first and second rows of A. E3 d. The elementary matrix E4 adds 7 times the first row of A to the second row of A. E4 = %| e. The elementary matrix E5 multiplies the second row of B by 1/3. Es = 00 00 II

1 and B =| -5 -5 A = -2 -4 -2 Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix Ej multiplies the first row of A by 1/5. E1 b. The elementary matrix E2 multiplies the second row of A by -2. E2 = E c. The elementary matrix E3 switches the first and second rows of A. E3 d. The elementary matrix E4 adds 7 times the first row of A to the second row of A. E4 = %| e. The elementary matrix E5 multiplies the second row of B by 1/3. Es = 00 00 II

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,...

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Question

-2
5
-3
A =
-1
1
and B = -5
-5
-2
3
1
-4
-2
Given the following descriptions, determine the following elementary matrices and their inverses.
a. The elementary matrix Ej multiplies the first row of A by 1/5.
E1
b. The elementary matrix E2 multiplies the second row of A by -2.
E2
E,
c. The elementary matrix E3 switches the first and second rows of A.
E3
Ez
d. The elementary matrix E, adds 7 times the first row of A to the second row of A.
88
E4
E,'
e. The elementary matrix Es multiplies the second row of B by 1/3.
E5 :

E,
f. The elementary matrix E6 multiplies the third row of B by -4.
E6
g. The elementary matrix E, switches the first and third rows of B.
E7
E,
II
II

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