A = Es= Suppose that: E6 = -2 -5 4 3 Given the following descriptions, determine the following elementary matrices and their inverses. E7 = and B = e. The elementary matrix Es multiplies the second row of B by 1/2. 1 1 3 12 5 E8 = -5 -3 -2 f. The elementary matrix E6 multiplies the third row of B by -5. ‚E5¹= g. The elementary matrix E7 switches the first and third rows of B. ,E6¹ = E7¹ = h. The elementary matrix Eg adds 5 times the third row of B to the second row of B.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A =
Es=
Suppose that:
E6 =
-2 -5
4 3
Given the following descriptions, determine the following elementary matrices and their inverses.
E7 =
and B =
e. The elementary matrix Es multiplies the second row of B by 1/2.
1 1 3
12 5
E8 =
-5 -3 -2
f. The elementary matrix E6 multiplies the third row of B by -5.
,E5 ¹=
g. The elementary matrix E7 switches the first and third rows of B.
‚E6¹ =
E7¹ =
h. The elementary matrix Eg adds 5 times the third row of B to the second row of B.
· Eg ¹=
Transcribed Image Text:A = Es= Suppose that: E6 = -2 -5 4 3 Given the following descriptions, determine the following elementary matrices and their inverses. E7 = and B = e. The elementary matrix Es multiplies the second row of B by 1/2. 1 1 3 12 5 E8 = -5 -3 -2 f. The elementary matrix E6 multiplies the third row of B by -5. ,E5 ¹= g. The elementary matrix E7 switches the first and third rows of B. ‚E6¹ = E7¹ = h. The elementary matrix Eg adds 5 times the third row of B to the second row of B. · Eg ¹=
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