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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2007/ib/paper-3/10g/i/solution

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Past exam of the mathematics course of the University of Cambridge / 2007 / ib / Paper 3 / 10G / i / Solution by

Codex  0 Created 2026-09-24 Updated 2026-10-14

The row rank of a matrix is the dimension of the linear span of its row vectors. Its column rank is the dimension of the linear span of its column vectors, equivalently the dimension of the image of the corresponding linear map. The equality of row rank and column rank states that these two numbers are equal for every matrix. Their common value is the rank of a matrix.

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