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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 7AEXP

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Suppose a change of coordinates T : R? → R² from the uv-plane to the xy-plane is
given by
x = 3v + 3u + 4, y= -3+5u + 3v.
(a) Find the absolute value of the determinant of the Jacobian for this change of
coordinates.
|a(x, y)
| a(u, v)
= |det
(b) If a region D* in the uv-plane has area 7.33, find the area of the region T(D*) in
the ry-plane.
Area =

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