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Incoming links: Determinant is not additive
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge 2003 Paper 1 5 b i Solution Created 2026-10-18 Updated 2026-10-20
Take , which are invertible matrices. Then , whereas . This proves that the determinant is not additive. Being a multilinear map of separate columns does not imply additivity in the entire matrix.