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Challenge: Figures' Linear Transformations | Linear Algebra
course content

Course Content

Mathematics for Data Analysis and Modeling

Challenge: Figures' Linear TransformationsChallenge: Figures' Linear Transformations

Task

Linear transformations of the figures are commonly used in computer graphics. There are 2 main types of linear transformations:

  1. Rotation transformation rotates a figure around a specific point or axis.
  2. Scale transformation resizes a figure by changing its size along each axis.

Your task is to apply all these transformations to a rectangle one by one. As a result, we will have a composition of transformations:

  1. Сreate rotation matrix that rotates a figure by np.pi / 3 degrees.
  2. Create a scaling matrix with the parameters scale_x = 2 and scale_y = 0.5.
  3. Apply the rotation_matrix to the square.
  4. Apply the scaling_matrix to the result of the previous transformation.

Everything was clear?

Section 2. Chapter 5
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course content

Course Content

Mathematics for Data Analysis and Modeling

Challenge: Figures' Linear TransformationsChallenge: Figures' Linear Transformations

Task

Linear transformations of the figures are commonly used in computer graphics. There are 2 main types of linear transformations:

  1. Rotation transformation rotates a figure around a specific point or axis.
  2. Scale transformation resizes a figure by changing its size along each axis.

Your task is to apply all these transformations to a rectangle one by one. As a result, we will have a composition of transformations:

  1. Сreate rotation matrix that rotates a figure by np.pi / 3 degrees.
  2. Create a scaling matrix with the parameters scale_x = 2 and scale_y = 0.5.
  3. Apply the rotation_matrix to the square.
  4. Apply the scaling_matrix to the result of the previous transformation.

Everything was clear?

Section 2. Chapter 5
toggle bottom row
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