  Let $n$ be an odd positive integer. In this short elementary note, we
slightly extend Macdonald's identity for $\mathfrak{sl}_{n}$ into a
two-variables identity in the spirit of Jacobi forms. The peculiarity of this
work lies in its proof which uses Wronskians of vector-valued
$\theta$-functions. This complements the work of A. Milas towards modular
Wronskians and denominator identities.
