Show that the set of all matrices of order 2×2 of the form \matrix{a|0|b|c}, where a,b,c are integers is a subring of the ring M of all matrices of order 2×2 with integral elements.
Show that the set of all matrices of order 2×2 of the form \matrix{a|0|b|c}, where a,b,c are integers is a subring of the ring M of all matrices of order 2×2 with integral elements.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 66E
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Question
Show that the set of all matrices of order 2×2 of the
form \matrix{a|0|b|c}, where a,b,c are integers is a subring of
the ring M of all matrices of order 2×2 with
elements.
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