Rotation Matrix

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A rotation matrix is a matrix that corresponds to the linear transformation of a rotation.

Rotation matrix is a high school-level concept that would be first encountered in a pre-calculus course.


Linear Transformation: A function from one vector space to another. If bases are chosen for the vector spaces, a linear transformation can be given by a matrix.
Matrix: A matrix is a concise and useful way of uniquely representing and working with linear transformations. In particular, for every linear transformation, there exists exactly one corresponding matrix, and every matrix corresponds to a unique linear transformation. The matrix is an extremely important concept in linear algebra.
Rotation: A rotation is the turning of an object or coordinate system about a fixed point.

Classroom Articles on Pre-Calculus (Up to High School Level)

  • Asymptote
  • Locus
  • Complex Conjugate
  • Logarithm
  • Complex Number
  • Natural Logarithm
  • Complex Plane
  • Normal Vector
  • Conic Section
  • Parabola
  • Cross Product
  • Parametric Equations
  • Curve
  • Plane
  • Determinant
  • Plane Curve
  • Domain
  • Polar Coordinates
  • Dot Product
  • Range
  • e
  • Rational Function
  • Ellipse
  • Reflection
  • Exponential Function
  • Scalar
  • Function
  • Spherical Coordinates
  • Hyperbola
  • Tangent Line
  • i
  • Translation
  • Imaginary Number
  • Vector
  • Inverse Function