a. Given a set A = (a, b,c) and R defined on A as R = {(a, b), (b, a), (b, b), (c, a)). Explain why R is I. Not Reflexive . Not Symmetric i. Not Anti-symmetric iv. Not Transitive b. What is I R2, . R i. RUR UR c. Hence, show that R UR uR' is transitive.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Discrete math questions attached
3.
a. Given a set A = {a, b, c} and R defined on A as R = { (a, b), (b, a), (b, b), (c, a)}.
Explain why R is
i. Not Reflexive
ii. Not Symmetric
i. Not Anti-symmetric
iv. Not Transitive
b. What is
i. R2,
il. R
iii. RUR? UR3
c. Hence, show that R UR? UR3 is transitive.
Transcribed Image Text:3. a. Given a set A = {a, b, c} and R defined on A as R = { (a, b), (b, a), (b, b), (c, a)}. Explain why R is i. Not Reflexive ii. Not Symmetric i. Not Anti-symmetric iv. Not Transitive b. What is i. R2, il. R iii. RUR? UR3 c. Hence, show that R UR? UR3 is transitive.
4.
a. Find the inverse 7(mod 11) and hence solve for x in 7x = 5(mod 11)
b. Suppose Alice picks p = 7 and q = 11 as the two integers for encrypting her
messages using the RSA algorithm. What is Alice's
i. public key
ii. private key
c. Suppose Bob wants to send a message m = 6 to Alice. What will be the encrypted
message?
Transcribed Image Text:4. a. Find the inverse 7(mod 11) and hence solve for x in 7x = 5(mod 11) b. Suppose Alice picks p = 7 and q = 11 as the two integers for encrypting her messages using the RSA algorithm. What is Alice's i. public key ii. private key c. Suppose Bob wants to send a message m = 6 to Alice. What will be the encrypted message?
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