Example 1

Tag 00Q7, permanent. Cite it as [Bourbaki, Tag 00Q7].

Algebra, VIII, p. 454, Appendix 2. Determinants over a Noncommutative Field

The columns of the matrix $B_{ij}(\lambda )$ are $\varepsilon_1, . . . , \varepsilon_j$ + $\varepsilon_i\lambda , \varepsilon_{i+1}, . . . , \varepsilon_n$ . By formula (5) of VIII, p. 448, we have

(21) det( $B_{ij}(\lambda )$ ) $= 1$ .

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Example 3, Appendix 2
Theorem 1, Appendix 2

Cites

VIII, p. 448