Library entry, recorded March 2026. This page is a historical record of one AI-coalition exchange under the kernel of its time (PHAT v1.x); the claims and tier words inside it are as they stood then and are not restated to the current state. The suite of record is Rev33.1 (sealed 2026-09-26); read any number here against the scorecard and its reading rule — since Rev29 no row is cited as zero-parameter, and α and the colour real form are declared inputs.

L18: ZORN VECTOR MATRICES ā€” EXPLICIT COMPUTATION

LIBRARY_PROMPT | PHAT v1.27.5 | Model: ā€” | Status: PENDING [JSON] [RAW]

Prompt

ZORN VECTOR MATRICES ā€” EXPLICIT COMPUTATION Implement Zorn vector matrix multiplication in SymPy: [[a,alpha],[beta,b]] * [[c,gamma],[delta,d]] = [[ac+alpha*delta, a*gamma+d*alpha-beta x gamma],[...]] where alpha,beta,gamma,delta in R^3 with dot and cross products. Verify this reproduces the Os multiplication table from L1. Compute the determinant = ad - alpha*beta and show it equals Q(x). #SuperGrokTOE #ZornMatrices #Octonions

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