Question
Let M2(Q) be the ring of all 2 2 matrices over Q, let R = E11M2(Q), where Eij (1 i, j 2) is the martix
Let M2(Q) be the ring of all 2 2 matrices over Q, let R = E11M2(Q), where Eij (1 i, j 2) is the martix with 1 in the ij entry and 0 elsewhere, and let I = QE12. R is a subring of M2(Q)and I is an ideal in R.
Show that IR = {0} and RI = {0}. Deduce from these facts that R is not commutative and has no idenity.
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Elementary Statisitcs
Authors: Barry Monk
2nd edition
1259345297, 978-0077836351, 77836359, 978-1259295911, 1259295915, 978-1259292484, 1259292487, 978-1259345296
