SOLUTION: In your own words describe the geometric effect of multiplying a vector x ∈ R2 by the matrix, 􏰂 cos^2 θ−sin^2 θ −2sinθcosθ 􏰃 2 sin θ cos θ cos^2

Algebra ->  College  -> Linear Algebra -> SOLUTION: In your own words describe the geometric effect of multiplying a vector x ∈ R2 by the matrix, 􏰂 cos^2 θ−sin^2 θ −2sinθcosθ 􏰃 2 sin θ cos θ cos^2      Log On


   



Question 1165600: In your own words describe the geometric effect of multiplying a vector x ∈ R2 by the matrix,
􏰂 cos^2 θ−sin^2 θ −2sinθcosθ 􏰃
2 sin θ cos θ cos^2 θ − sin^2 θ

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

This matrix is the rotation matrix in the coordinate plane R%5E2 by the angle  2%2Atheta.

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See this Wikipedia article

https://en.wikipedia.org/wiki/Rotation_matrix