# L18: ZORN VECTOR MATRICES — EXPLICIT COMPUTATION

**Category:** library_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

ZORN VECTOR MATRICES — 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