Math Problem Statement
Podrias representarme una matriz jacobiana simbolica de variables x1,x2,x3,xn-1, xn proveniente de una matrix cuadrada de 4x4?
Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Calculus
Jacobian Matrix
Partial Derivatives
Formulas
Jacobian matrix: J_ij = ∂f_i/∂x_j
4x4 Jacobian matrix with 4 variables: J = [[∂f1/∂x1, ∂f1/∂x2, ∂f1/∂x3, ∂f1/∂x4], [∂f2/∂x1, ∂f2/∂x2, ∂f2/∂x3, ∂f2/∂x4], [∂f3/∂x1, ∂f3/∂x2, ∂f3/∂x3, ∂f3/∂x4], [∂f4/∂x1, ∂f4/∂x2, ∂f4/∂x3, ∂f4/∂x4]]
Theorems
Jacobian determinant theorem
Chain rule for partial derivatives
Suitable Grade Level
University Level
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