Modern Algebra Let S = {[_$$]:q₂bER} -b Show that : CS given by a ,bER CM₂ (R) a (a + bi) = is a ring isomorphism. (This shows that there is a "copy" of C in the ring of 2 × 2 real matrices)
Modern Algebra Let S = {[_$$]:q₂bER} -b Show that : CS given by a ,bER CM₂ (R) a (a + bi) = is a ring isomorphism. (This shows that there is a "copy" of C in the ring of 2 × 2 real matrices)
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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![Modern Algebra
Let
S =
a
{[_81]: a,bER}
,bER CM₂ (R)
-b
Show that : CS given by
a
(a + bi) =
is a ring isomorphism. (This shows that there is a "copy" of C in the ring of 2 × 2
real matrices)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc880ec5d-e59c-4509-84c8-fcc7b667c74c%2F0724e05b-9b92-4763-a35e-df3c752cf095%2Fhg9iys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Modern Algebra
Let
S =
a
{[_81]: a,bER}
,bER CM₂ (R)
-b
Show that : CS given by
a
(a + bi) =
is a ring isomorphism. (This shows that there is a "copy" of C in the ring of 2 × 2
real matrices)
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