Explain why or why not Determine whether the

Chapter 13, Problem 45

(choose chapter or problem)

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. If the transformation T: x = g1u, v2, y = h1u, v2 is linear in u and v, then the Jacobian is a constant. b. The transformation x = au + bv, y = cu + dv generally maps triangular regions to triangular regions. c. The transformation x = 2v, y = -2u maps circles to circles.

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