Suppose that A = Determine the elementary matrices and their inverses based on the following descripions. a. The elementary matrix E₁ multiplies the first row of A by 1/5. E1 = E2 X = 4 -2] -3 5 0 T 1 를 E₁¹ E₂¹ X = 4 b. The elementary matrix E₂ multiplies the second row of A by -5. 0 -2 1 36 c. The elementary matrix E3 switches the first and second rows of A.
Suppose that A = Determine the elementary matrices and their inverses based on the following descripions. a. The elementary matrix E₁ multiplies the first row of A by 1/5. E1 = E2 X = 4 -2] -3 5 0 T 1 를 E₁¹ E₂¹ X = 4 b. The elementary matrix E₂ multiplies the second row of A by -5. 0 -2 1 36 c. The elementary matrix E3 switches the first and second rows of A.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:E3 =
3
E4
E¹
||
d. The elementary matrix E4 adds 7 times the first row of A to the second row of A.
E¹
1E
![Suppose that A
E₁
Determine the elementary matrices and their inverses based on the following descripions.
a. The elementary matrix E₁ multiplies the first row of A by 1/5.
=
=
E₂ =
4 -2]
-3 5
X
49.83
=
1
1
E₂¹
0
b. The elementary matrix E₂ multiplies the second row of A by - 5.
=
1
-2
c. The elementary matrix E3 switches the first and second rows of A.
[
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Transcribed Image Text:Suppose that A
E₁
Determine the elementary matrices and their inverses based on the following descripions.
a. The elementary matrix E₁ multiplies the first row of A by 1/5.
=
=
E₂ =
4 -2]
-3 5
X
49.83
=
1
1
E₂¹
0
b. The elementary matrix E₂ multiplies the second row of A by - 5.
=
1
-2
c. The elementary matrix E3 switches the first and second rows of A.
[
https://www.myopenmath.com/assess2/index.php?cid=201973&aid=14298472&r=653dbc1b709b4#/skip/12
10/28/23, 9:59 PM
Page 1 of 2
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