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. Let R be the ring of all complex numbers and R' the a b b a ring of all 2 x 2 matrices of the form where a and b are real numbers. Then the mapping f : R→R' defined as a b f (a+ ib) =| is a homomorphism. - b a

. Let R be the ring of all complex numbers and R' the a b b a ring of all 2 x 2 matrices of the form where a and b are real numbers. Then the mapping f : R→R' defined as a b f (a+ ib) =| is a homomorphism. - b a

Advanced Engineering Mathematics
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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Don't give worng answer and copy paste.Show.ring.hom.

. Let R be the ring of all complex numbers and R' the a b -b a ring of all 2× 2 matrices of the form where a and b are real numbers. Then the mapping f: R→R' defined as a b -b a а f (a + ib) = is a homomorphism.
Transcribed Image Text:. Let R be the ring of all complex numbers and R' the a b -b a ring of all 2× 2 matrices of the form where a and b are real numbers. Then the mapping f: R→R' defined as a b -b a а f (a + ib) = is a homomorphism.
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