linalg(deprecated)/wronskian - Maple Help

linalg(deprecated)

 wronskian
 wronskian matrix of a vector of functions

 Calling Sequence wronskian(f, v)

Parameters

 f - vector or list of expressions v - variable

Description

 • Important: The linalg package has been deprecated. Use the superseding command VectorCalculus[Wronskian], instead.
 - For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.
 • The procedure wronskian(f, v) computes the wronskian matrix of f with respect to v. The (i,j)th entry of the matrix result is $\frac{{\partial }^{i-1}}{\partial {v}^{i-1}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{f}_{j}$. The wronskian determinant is the determinant of the wronskian matrix.
 • The command with(linalg,wronskian) allows the use of the abbreviated form of this command.

Examples

Important: The linalg package has been deprecated. Use the superseding command VectorCalculus[Wronskian], instead.

 > $\mathrm{with}\left(\mathrm{linalg}\right):$
 > $A≔\left[\begin{array}{ccc}{ⅇ}^{x}& \mathrm{cosh}\left(x\right)& \mathrm{sinh}\left(x\right)\end{array}\right]$
 ${A}{≔}\left[\begin{array}{ccc}{{ⅇ}}^{{x}}& {\mathrm{cosh}}{}\left({x}\right)& {\mathrm{sinh}}{}\left({x}\right)\end{array}\right]$ (1)
 > $\mathrm{Wr}≔\mathrm{wronskian}\left(A,x\right)$
 ${\mathrm{Wr}}{≔}\left[\begin{array}{ccc}{{ⅇ}}^{{x}}& {\mathrm{cosh}}{}\left({x}\right)& {\mathrm{sinh}}{}\left({x}\right)\\ {{ⅇ}}^{{x}}& {\mathrm{sinh}}{}\left({x}\right)& {\mathrm{cosh}}{}\left({x}\right)\\ {{ⅇ}}^{{x}}& {\mathrm{cosh}}{}\left({x}\right)& {\mathrm{sinh}}{}\left({x}\right)\end{array}\right]$ (2)
 > $\mathrm{det}\left(\mathrm{Wr}\right)$
 ${0}$ (3)