Prove that for the general equation of degree 2 Ax² + Bxy + Cy² + Dx + Ey+F = 0 that the angle of rotation 0 need to remove the cross product term in a coordinate transformation is given by A-C cot 20 B

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 38EQ
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Prove that for the general equation of degree 2
Ax² + Bxy + Cy² + Dx + Ey + F = 0 that the
angle of rotation 0 need to remove the cross
product term in a coordinate transformation is
given by
cot 20 =
A - C
B
Transcribed Image Text:Prove that for the general equation of degree 2 Ax² + Bxy + Cy² + Dx + Ey + F = 0 that the angle of rotation 0 need to remove the cross product term in a coordinate transformation is given by cot 20 = A - C B
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