Manuscript XVI-O1-ST@5 · XVI-O1-ST-v5.tex · section · dd45e0d1

Gaussian-rational rank

Retained exact synthetic examples › Gaussian-rational rank · lines 1949–1964

For

G_{c} = 1 i 0 i - 1 0, L_{c} = (- i 0 1001), z_{c} = (- i, 1)^{T},

the original minor is one, $L_{c} G_{c} = 0$ , $G_{c} z_{c} = 0$ , and $rank_{Q (i)} G_{c} = 1$ . The realification has rational rank two. The left-kernel multiplication is algebraic, not an unannounced conjugate-transpose convention.

Displayed formulas in this passage

unlabeled · line 1952
$G_{c} = 1 i 0 i - 1 0, L_{c} = (- i 0 1001), z_{c} = (- i, 1)^{T},$