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Vectors and matrices: a dot product and a determinant
mathematics
The dot product of two 3-vectors measures how they align; the determinant of a 2×2 matrix measures the signed area it scales. Both computed exactly. Worked & sealed by the engine — [1,2,3]·[4,5,6] = 4+10+18 = 32 · det [[1,2],[3,4]] = 1·4 − 2·3 = −2. [HOLDS; open the seal to re-check.]
source
card id
card_works_linear_algebra
address
UNPLACED
adjoining cards
- on the shelf of → The Works — sealed, worked demonstrations — a member of the the-works shelf in the keeping
- paves → The Floor of Discovery — one floor, and by its design the fear of God — A worked, engine-sealed demonstration — a paving-stone of the floor of reality.
- demonstrates → [1,2,3]·[4,5,6] = 4+10+18 = 32 · det [[1,2],[3,4]] = 1·4 − 2·3 = −2 — A worked demonstration in the same field (linear_algebra).
- adjacent → Ten fair coins: the average and a particular outcome — Neighbouring worked demonstrations in the same part of the volume.
- adjacent → Measuring information: one bit, and a distance — Neighbouring worked demonstrations in the same part of the volume.
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