Show that if A and B are square matrices in the field F and are upper triangular, so is AB.
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Originally Posted by amm345 Show that if A and B are square matrices in the field F and are upper triangular, so is AB. let so we have whenever let then so if and then we cannot have and at the same time. so for any either or and thus either or therefore if then for all and so Q.E.D.
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