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Can someone explain why the word ``pencil was chosen for this concept??? — Preceding unsigned comment added by 131.247.137.157 (talk) 13:01, 13 August 2018 (UTC)[reply]

According to this MathOverflow answer, the etymology seems to be that a pencil represents a group bound by a property. Saung Tadashi (talk) 21:07, 13 August 2018 (UTC)[reply]

The first line of the article is disjoint from the rest

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On the first line of the article, the matrix pencil of degree l for a sequence of matrices A_l is defined. The rest of the article discusses the seemingly unrelated problem of A - lambda B, which (I guess) comes from the formulation on the first line by choosing A_0 = A and A_1 = -B. By this connection should be strengthened. — Preceding unsigned comment added by 2001:700:300:4105:599E:614D:824:82E6 (talk) 14:16, 26 February 2020 (UTC)[reply]