The Wronskian(f, t) command computes the Wronskian Matrix of the function f with respect to the variable t.  This is an $n\times n$ Matrix A such that $A_{\mathrm{ij}}=\frac{{\ⅆ}^{j-1}}{\ⅆt^{j-1}}{f}_i\left(t\right)$ where $n=\mathrm{nops}\left(f\right)$.

The det option specifies whether the determinant of the Wronskian matrix is also returned.  If given as determinant = true, or just determinant, then an expression sequence containing the Wronskian matrix and its determinant is returned.

$\mathrm{with}\left(\mathrm{VectorCalculus}\right)\:$

$\mathrm{Wronskian}\left(\left[\exp \left(t\right)\,\sin \left(t\right)\,\cos \left(t\right)\right]\,t\right)$

$\left[\begin{array}{ccc}{\ⅇ}^t& \sin \left(t\right)& \cos \left(t\right)\\ {\ⅇ}^t& \cos \left(t\right)& -\sin \left(t\right)\\ {\ⅇ}^t& -\sin \left(t\right)& -\cos \left(t\right)\end{array}\right]$

$\mathrm{Wronskian}\left(\left[t^3\,t^4\right]\,t\right)$

$\left[\begin{array}{cc}{t}^3& t^4\\ 3t^2& 4t^3\end{array}\right]$

$\mathrm{Wronskian}\left(\left[t^3\,t^4\right]\,t\,'\mathrm{determinant}'\right)$

$\left[\begin{array}{cc}{t}^3& t^4\\ 3t^2& 4t^3\end{array}\right],t^6$

The determinant option was introduced in Maple 15.

For more information on Maple 15 changes, see Updates in Maple 15.