Notation in gradient of the determinant

Question

From page 631 of Dennis S. Bernstein's Matrix Mathematics, in equation (10.7.8):

Let $A \in \mathbb{M}^{n \times m}$, and $B \in \mathbb{M}^{p \times n}$. For all $X \in \mathbb{M}^{m\times p}$, $$\frac{d}{dX}\mathrm{det}\, AXB = B (AXB)^{\mathrm{A}} A.$$

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I did not find the meaning of the notation $(AXB)^{\mathrm{A}}$ in the book. Can anyone help?