2. Let R be the set of 2 x 2 matrices with integer entries and lower left entry equal to zero, i.e.: R = {(8 d) [a,b,c € z}. You may assume that R, together with the usual addition and multiplication of matrices, is a ring, Define : R→ Z by ·(()). Show that is a ring homomorphism. <= a.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let R be the set of 2 x 2 matrices with integer entries and lower left entry equal to
zero, i.e.:
{(o d) [a,b,cez}.
You may assume that R, together with the usual addition and multiplication of
matrices, is a ring, Define : R→ Z by
*((6))--
R
Show that is a ring homomorphism.
a.
Transcribed Image Text:2. Let R be the set of 2 x 2 matrices with integer entries and lower left entry equal to zero, i.e.: {(o d) [a,b,cez}. You may assume that R, together with the usual addition and multiplication of matrices, is a ring, Define : R→ Z by *((6))-- R Show that is a ring homomorphism. a.
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