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
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Please complete (a) and (b), where the answer to (a) has been provided. Please provide the process.

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)
wwww...
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) wwww...
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