Suppose a change of coordinates T: R? → R? from the uv-plane to the æy-plane is given by -2u x = e cos(5v), y = e -2u sin(5v). Find the absolute value of the determinant of the Jacobian for this change of coordinates. a(x, y) 8(u, v) - det

Suppose a change of coordinates T: R? → R? from the uv-plane to the æy-plane is given by -2u x = e cos(5v), y = e -2u sin(5v). Find the absolute value of the determinant of the Jacobian for this change of coordinates. a(x, y) 8(u, v) - det

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 19EQ

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Question

Suppose a change of coordinates T : R → R² from the uv-plane to the xy-plane is given by
-2u
x = e
' cos(5v), y = e 2u sin(5v).
Find the absolute value of the determinant of the Jacobian for this change of coordinates.
0(u, 0) = det
||

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