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1.2.4 Application of matrices to Geometry

Chapter 1: Chapter 1 · MATHEMATICS-VOLUME 1 · EN medium

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There is a special type of non-singular matrices which are widely used in applications of matrices to geometry. For simplicity, we consider two-dimensional analytical geometry. Let O be the origin, and x O x ' and y Oy ' be the x -axis and y -axis. Let P be a point in the plane whose coordinates are ( , ) x y with respect to the coordinate system. Suppose that we rotate the x -axis and y -axis about the origin, through an angle θ as shown in the figure. Let X OX '

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 20

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There is a special type of non-singular matrices which are widely used in applications of matrices to geometry. For simplicity, we consider two-dimensional analytical geometry. Let O be the origin, and x O x ' and y Oy ' be the x -axis and y -axis. Let P be a point in the plane whose coordinates are ( , ) x y with respect to the coordinate system.

Suppose that we rotate the x -axis and y -axis about the origin, through an angle θ as shown in the figure. Let X OX '

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