Student[MultivariateCalculus][Jacobian] - return the Jacobian of a list of multivariate functions
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Calling Sequence
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Jacobian([f(x,y,..), g(x,y,..), ..], [x, y, ..], opts)
Jacobian([f(x,y,..), g(x,y,..),..], [x, y, ..] = [a, b, ..], opts)
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Parameters
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[f(x, y, ..), g(x, y, ..), ..]
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list (or Vector) of multivariate algebraic expressions
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[x, y, ..]
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name; specify the independent variables
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a, b, ..
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name or real constant; evaluate the Jacobian at the specified point
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opts
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(optional) equation(s) of the form output=method where method is one of determinant or matrix; specify output options
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Description
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The Jacobian([f(x,y,...), g(x,y,...), ...], [x,y,...]) calling sequence returns the matrix form of the Jacobian. The calling sequence in the form Jacobian([f(x,y,...), g(x,y,...),...], [x,y,...]=[a,b,..]) returns the matrix form of the Jacobian evaluated at a point specified by . The dimension of the point must equal the number of independent variables.
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Specifying the option output = method returns the Jacobian in the specified form, where method is one of determinant or matrix. The matrix form is the default.
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If the output = determinant option is given, then the number of independent variables must equal the number of algebraic expressions.
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Examples
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