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Product of Additive Inverses

Product of Additive Inverses By Susam Pal on 29 May 2025 A negative number multiplied by another negative number results in a positive number. Most of us learnt this rule during our primary or secondary school years. 'Negative times negative equals positive' was a phrase drummed into us during mathematics lessons. In this article, we will prove this rule, not just for numbers but for any algebraic structure that, in a general sense, behaves somewhat like numbers. Contents Illustration Let u

Cracovians: The Twisted Twins of Matrices

Linear algebra is typically explained using matrices. But matrix theory is just one possible perspective. Below, I describe an alternative approach to linear algebra. Tadeusz Banachiewicz (1882–1954), a Polish astronomer living in Krakow, was passionate about calculating machines. From the 1920s, Banachiewicz developed a method for computations on tables of numbers, which was particularly easy to perform with arithmometers. In honor of Krakow, Banachiewicz named these computational objects crac