A matrix (a ij ) Mat n R is said to be Prove that the set
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A matrix (aij) ϵ MatnR is said to be 
Prove that the set of all diagonal matrices is a subring of MatnR which is (ring) isomorphic to R x · · · x R(n factors). Show that the set T of all triangular matrices is a subring of MatnR and the set I of all strictly triangular matrices is an ideal in T. Identify the quotient ring T/I.
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Lets prove the statements step by step 1 Prove that the set of all diagonal matrices is a subring of MatnR A matrix is diagonal if all its entries out...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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