Let R be commutative. (a) If the matrix product AB is defined, then so is the product
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Let R be commutative.
(a) If the matrix product AB is defined, then so is the product BtAt and (AB)t= BtAt.
(b) If A is invertible, then so is At and (At)-1 = (A-1)t.
(c) If R is not commutative, then (a) and (b) may be false.
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a If the matrix product AB is defined then so is the product BtAt and ABt BtAt This statement is tru...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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