Let R be the commutative ring of all matrices with rational entries, M3(Q), of the form
Let R be the commutative ring of all matrices with rational entries, M3(Q), of the form
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 4E: [Type here]
Examples 5 and 6 of Section 5.1 showed that is a commutative ring with unity. In...
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![2. Let R be the commutative ring of all matrices with rational entries, M3(Q), of the form
a b c
0 ab
00 a
Show that the mapping : R Q given by
ab c
0 ab
00a
is a homomorphism.
$
- a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd377aab-d46d-41ac-a49d-b3119dc6fdc9%2Fd9d51094-38b9-4694-aa64-3eef91e72989%2Flcsfp1u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let R be the commutative ring of all matrices with rational entries, M3(Q), of the form
a b c
0 ab
00 a
Show that the mapping : R Q given by
ab c
0 ab
00a
is a homomorphism.
$
- a
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