5. Recall that i = V-I and let G = {1,a, B} where a = the operation on multiplication. remember that i2 = -1. =1+v3i and B = =31, Verify that G is a group with
5. Recall that i = V-I and let G = {1,a, B} where a = the operation on multiplication. remember that i2 = -1. =1+v3i and B = =31, Verify that G is a group with
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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#5 please
![5. Recall that i = V-1 and let G = {1,a, B} where a =
the operation on multiplication. remember that i? = -1.
=l+v3i and 3 = =1531, Verify that G is a group with
6. Let a =
(12)(345) E S5. Calculate all the distinct powers a" and determone the order of a.
7. Find all the zeros of a(x) = x³ + 2x2 + 4x + 3 in Z5[x]. Use that information to express a(x) as a product of
linear factors.
%3D
8. Find the gcd of a(x) = 3x3 + 2x2 + x + 2 and b(x) = x+3x³ + 3x2 +4 in Z;[r).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc98f3cb-7fb3-4c12-94d5-c05790c270cb%2F941a0327-8d27-48b6-97dc-0264d1e1846d%2Fhdkxtxi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Recall that i = V-1 and let G = {1,a, B} where a =
the operation on multiplication. remember that i? = -1.
=l+v3i and 3 = =1531, Verify that G is a group with
6. Let a =
(12)(345) E S5. Calculate all the distinct powers a" and determone the order of a.
7. Find all the zeros of a(x) = x³ + 2x2 + 4x + 3 in Z5[x]. Use that information to express a(x) as a product of
linear factors.
%3D
8. Find the gcd of a(x) = 3x3 + 2x2 + x + 2 and b(x) = x+3x³ + 3x2 +4 in Z;[r).
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