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#matrix-calculus
1 articles
01
2026-08-25
·
Calculus & Optimization
·
★ MEMBER
·
11 min read
Matrix Calculus from Scratch — Derive the Backward Pass Yourself
Where does the transpose in ∂L/∂W = XᵀG actually come from? Matrix calculus is not a formula sheet to memorize — it is one move: rotate dX to the right inside a trace. From denominator layout and shape-checking to the gradients of a linear layer and softmax + cross-entropy, ending with a double-precision gradient check.