jacobian - Maple Help

MTM

 jacobian
 compute the Jacobian matrix

 Calling Sequence jacobian(F, v)

Parameters

 F - array or scalar v - array or variable

Description

 • The jacobian(F,v) function computes the Jacobian matrix of F with respect to the variable(s) v.
 • Each row of the result corresponds to the partial derivatives of an entry in F with respect to the entries of v.

Examples

 > $\mathrm{with}\left(\mathrm{MTM}\right):$
 > $\mathrm{M1}≔\mathrm{Matrix}\left(2,3,'\mathrm{fill}'=12{x}^{2}{y}^{3}\right):$
 > $\mathrm{M2}≔\left[x,y\right]:$
 > $\mathrm{jacobian}\left(\mathrm{M1},\mathrm{M2}\right)$
 $\left[\begin{array}{cc}{24}{}{x}{}{{y}}^{{3}}& {36}{}{{x}}^{{2}}{}{{y}}^{{2}}\\ {24}{}{x}{}{{y}}^{{3}}& {36}{}{{x}}^{{2}}{}{{y}}^{{2}}\\ {24}{}{x}{}{{y}}^{{3}}& {36}{}{{x}}^{{2}}{}{{y}}^{{2}}\\ {24}{}{x}{}{{y}}^{{3}}& {36}{}{{x}}^{{2}}{}{{y}}^{{2}}\\ {24}{}{x}{}{{y}}^{{3}}& {36}{}{{x}}^{{2}}{}{{y}}^{{2}}\\ {24}{}{x}{}{{y}}^{{3}}& {36}{}{{x}}^{{2}}{}{{y}}^{{2}}\end{array}\right]$ (1)