JACOBIAN _ _ _ _ _ _ _ _ _ _ _ _ operator

syntax:

<expr\_list> :- either a single algebraic expression or a list of algebraic expressions.

<variable\_list> :- either a single variable or a list of variables.

jacobiancomputes the jacobian matrix of <expr\_list> w.r.t. <variable\_list>.

This is a matrix whose (i,j)'th entry is df(<expr\_list> (i),<variable\_list>(j)).

The matrix is n by m where n is the number of variables and m the number of expressions.

examples:

 
jacobian({x^4,x*y^2,x*y*z^3},{w,x,y,z}); 


  [      3                 ]
  [0  4*x     0       0    ]
  [                        ]
  [     2                  ]
  [0   y    2*x*y     0    ]
  [                        ]
  [      3     3          2]
  [0  y*z   x*z    3*x*y*z ]

Related functions: hessian, df.