Determine whether the statement, 'Although the algebra of rotations can get ugly, the main idea is that rotation through an appropriate angle will transform a general second-degree equation into an equation in x′ and y′without an x′y′-term.' , makes sense or does not make sense, and explain your reasoning.
Determine whether the statement, 'Although the algebra of rotations can get ugly, the main idea is that rotation through an appropriate angle will transform a general second-degree equation into an equation in x′ and y′without an x′y′-term.' , makes sense or does not make sense, and explain your reasoning.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 3AEXP
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Determine whether the statement, 'Although the algebra of rotations can get ugly, the main idea is that rotation through an appropriate angle will transform a general second-degree equation into an equation in x′ and y′
without an x′y′-term.' , makes sense or does not make sense, and explain your reasoning.
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Consider the given statement: "Although the algebra of rotations can get ugly, the main idea is that rotation through an appropriate angle will transform a general second-degree equation into an equation in x′ and y′ without an x′y′-term".
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