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Jacobian Matrix and Jacobian
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Description
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Calculuate the Jacobian matrix and Jacobian of a set of multivariate functions.
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Jacobian Matrix and Jacobian
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Functions
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| (1) |
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Variables
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| (2) |
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Point P
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![[1, 2, __a__]](/support/helpjp/helpview.aspx?si=3968/file05238/math62.png)
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![[1, 2, __a__]](/support/helpjp/helpview.aspx?si=3968/file05238/math65.png)
| (3) |
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Jacobian Matrix
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![Student[MultivariateCalculus][Jacobian]([__x__^2+__y__*__z__, 2-__x__*__y__, __y__^2-__z__], [__x__, __y__, __z__])](/support/helpjp/helpview.aspx?si=3968/file05238/math74.png)
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![Matrix([[2*__x__, __z__, __y__], [-__y__, -__x__, 0], [0, 2*__y__, -1]])](/support/helpjp/helpview.aspx?si=3968/file05238/math77.png)
| (4) |
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Jacobian Matrix at P
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![Student[MultivariateCalculus][Jacobian]([__x__^2+__y__*__z__, 2-__x__*__y__, __y__^2-__z__], [__x__, __y__, __z__] = [1, 2, __a__])](/support/helpjp/helpview.aspx?si=3968/file05238/math86.png)
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![Matrix([[2, __a__, 2], [-2, -1, 0], [0, 4, -1]])](/support/helpjp/helpview.aspx?si=3968/file05238/math89.png)
| (5) |
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Jacobian
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![Student[MultivariateCalculus][Jacobian]([__x__^2+__y__*__z__, 2-__x__*__y__, __y__^2-__z__], [__x__, __y__, __z__], output = determinant)](/support/helpjp/helpview.aspx?si=3968/file05238/math98.png)
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| (6) |
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Jacobian at P
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![Student[MultivariateCalculus][Jacobian]([__x__^2+__y__*__z__, 2-__x__*__y__, __y__^2-__z__], [__x__, __y__, __z__] = [1, 2, __a__], output = determinant)](/support/helpjp/helpview.aspx?si=3968/file05238/math110.png)
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| (7) |
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