Isomorphism
Not what you're looking for? Search our solutions OR ask your own Custom question.
If G ={a + b*sqrt2 | a,b rational} and H = {matrix a 2b, b a | a,b rational}, H is a 2 x 2 matrix -
a 2b
b a
show that G and H are isomorphic under addition. Prove that G and H are closed under multiplication.
I know I need to define the function map first, but I don't know what it is in this problem, let alone prove that it is one-to-one and onto. Any help would be much appreciated.
© BrainMass Inc. brainmass.com March 6, 2023, 12:50 pm ad1c9bdddfhttps://brainmass.com/math/matrices/isomorphism-example-problem-26422
Solution Summary
This shows how to show that sets are isomorphic under addition and closed under multiplication.
$2.49