GraphMath

Shape & rank

Six core shape and rank cases

This chapter classifies matrices by shape m×n and rank r. Each case explains what can be solved, what cannot be solved and what structure is revealed.

Chapter contents

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Topic Pages
Square full-rank: m = n, r = n 1–2
Square non-full-rank: m = n, r < n 3–5
Tall full column-rank: m > n, r = n 6–8
Tall non-full column-rank: m > n, r < n 9–11
Short full row-rank: m < n, r = m 12–13
Short non-full row-rank: m < n, r < m 14–17

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