# Thread: isomorphisms......

1. ## isomorphisms......

a) X1=the set of all two by two matrices of the form
(a 0; b a) where a and b belong to Z(mod 2)
b) X2=the set of all two by two matrices of the form
(a+b b; b a) where a and b belong to Z (mod 2)
c) X3=the set of all two by two matrices of the form
(a a+b; 0 b) where a and b belong to Z (mod 2)

Which, if any, are isomorphic to each other...give isomorphisms or explain why not....

2. Originally Posted by zhupolongjoe
a) X1=the set of all two by two matrices of the form
(a 0; b a) where a and b belong to Z(mod 2)
b) X2=the set of all two by two matrices of the form
(a+b b; b a) where a and b belong to Z (mod 2)
c) X3=the set of all two by two matrices of the form
(a a+b; 0 b) where a and b belong to Z (mod 2)

Which, if any, are isomorphic to each other...give isomorphisms or explain why not....
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