Let S be the quadric with equation 4x² - (y - 3)² + 4z² = 4. What type of quadric is S? Find an equation of the trace of S on the xy-plane, yz-plane, and on the planes y = -1, y = 3, and y = 7. Identify each trace.
Let S be the quadric with equation 4x² - (y - 3)² + 4z² = 4. What type of quadric is S? Find an equation of the trace of S on the xy-plane, yz-plane, and on the planes y = -1, y = 3, and y = 7. Identify each trace.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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