3. (a) If etB and eta are both contractions on R", and BA is a contraction. Similarly for expansions. (b) Show that (a) can be false if the assumption that AB 3. (a) Use etBetA et(B+A). = = AB, then et(A+B) = BA is dropped.
3. (a) If etB and eta are both contractions on R", and BA is a contraction. Similarly for expansions. (b) Show that (a) can be false if the assumption that AB 3. (a) Use etBetA et(B+A). = = AB, then et(A+B) = BA is dropped.
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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Question
Please complete (a) and (b), where the answer to (a) has been provided. Please provide the process.

Transcribed Image Text:3.
(a) If et and et4 are both contractions on R", and BA AB, then et(A+B)
is a contraction. Similarly for expansions.
(b)
Show that (a) can be false if the assumption that AB = BA is dropped.
3. (a)
(a) Use etBetA
et(B+A)
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