suppose tha 3 -3 2 [:] 4 -2 A = and B 5 1 3 -1 3 2 -2 -1 Given the following descriptions, determine the following elementary matrices and their inverses a. The elementary matrix E¡ multiplies the first row of A by 1/4. E ,E, ' %3D b. The elementary matrix E, multiplies the second row of A by -4. E2 ,E,' c. The elementary matrix Eg switches the first and second rows of A. Eg ,E,' d The elementary matrix E. adds 3 times the first row of A to the second row of A
suppose tha 3 -3 2 [:] 4 -2 A = and B 5 1 3 -1 3 2 -2 -1 Given the following descriptions, determine the following elementary matrices and their inverses a. The elementary matrix E¡ multiplies the first row of A by 1/4. E ,E, ' %3D b. The elementary matrix E, multiplies the second row of A by -4. E2 ,E,' c. The elementary matrix Eg switches the first and second rows of A. Eg ,E,' d The elementary matrix E. adds 3 times the first row of A to the second row of A
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
Related questions
Question
![Suppose that:
3 -3 2
4
-2
A =
and B =
5 1
3
-1 3
2 -2 -1
Given the following descriptions, determine the following elementary matrices and their inverses.
a. The elementary matrix E, multiplies the first row of A by 1/4.
E
1
b. The elementary matrix E, multiplies the second row of A by -4.
E2
‚E,
c. The elementary matrix Ez switches the first and second rows of A
E3
E
d. The elementary matrix E, adds 3 times the first row of A to the second row of A.
1
E4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab559d40-e905-46fa-825f-4e9e608e7013%2F9751e9b8-43ee-4c25-b575-23a1b7901bb8%2Fjieg339_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that:
3 -3 2
4
-2
A =
and B =
5 1
3
-1 3
2 -2 -1
Given the following descriptions, determine the following elementary matrices and their inverses.
a. The elementary matrix E, multiplies the first row of A by 1/4.
E
1
b. The elementary matrix E, multiplies the second row of A by -4.
E2
‚E,
c. The elementary matrix Ez switches the first and second rows of A
E3
E
d. The elementary matrix E, adds 3 times the first row of A to the second row of A.
1
E4
![e. The elementary matrix E, multiplies the second row of B by 1/6.
Es
E,
f. The elementary matrix Eg multiplies the third row of B by -4.
1
E
Es
g. The elementary matrix E, switches the first and third rows of B.
E
E,
h. The elementary matrix Eg adds 3 times the third row of B to the second row of B.
Es](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab559d40-e905-46fa-825f-4e9e608e7013%2F9751e9b8-43ee-4c25-b575-23a1b7901bb8%2Fpgmcsu_processed.png&w=3840&q=75)
Transcribed Image Text:e. The elementary matrix E, multiplies the second row of B by 1/6.
Es
E,
f. The elementary matrix Eg multiplies the third row of B by -4.
1
E
Es
g. The elementary matrix E, switches the first and third rows of B.
E
E,
h. The elementary matrix Eg adds 3 times the third row of B to the second row of B.
Es
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