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Home > PC3 > Chapter 11 > Lesson 11.2.5 > Problem 11-158

11-158.

Suppose is the linear transformation matrix for counterclockwise rotation and is the linear transformation matrix for horizontal reflection.

  1. Write the matrix associated with .

    The general matrix for counterclockwise rotation is:

  2. Write the matrix associated with .

    A horizontal reflection of the point  results in the point .

  3. Write the matrix for the composition of followed by .

  4. Is the composition of followed by the same as your result in part (c)? Explain.