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This Is The Question About Linear Algebra For Vector Analysis

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2. Define g: R’ – R’ by g(x, y, u, v) = ( xy ty’ – uv, x? + 2xy – u’ + v? ).
(a) (1 point) Is the Jacobian of g a 2 x 4 matrix?
O Yes
O No
(b) (2 points) Compute the Jacobian of g.
(c) (3 points) Use the Jacobian of g to approximate
g(x + Ar, y + Ay, u + Au, v + Av) – g(x, y, u, v)
for (x, y, u, v) = (1, 1, 2, 1) and Ax = Ay = Au = Av = 10-3.Math