Consider the unit sphere U: x² + y²+z² = 1 What is its volume? What matrix A changes U to the ellipsoid E: a +8² + 2 = 1? Find the volume of this ellipsoid using determinants. a²
Consider the unit sphere U: x² + y²+z² = 1 What is its volume? What matrix A changes U to the ellipsoid E: a +8² + 2 = 1? Find the volume of this ellipsoid using determinants. a²
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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![Consider the unit sphere U: x² + y²+z² = 1
What is its volume?
What matrix A changes U to the ellipsoid E: a +8² + 2 = 1?
Find the volume of this ellipsoid using determinants.
a²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda0c3723-3826-4a50-96b8-6e00a11f1ffc%2Fb6437709-2389-4870-8366-95f0d8b11e42%2Fqim2mll_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the unit sphere U: x² + y²+z² = 1
What is its volume?
What matrix A changes U to the ellipsoid E: a +8² + 2 = 1?
Find the volume of this ellipsoid using determinants.
a²
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