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Focus C: Matrix Multiplication

Question #1

(b) Recall that a reflection in the x-axis maps the point (x, y) onto the image point (x, -y).

(d)

  • You cannot solve the matrix equation by inverse matrices as this process is useful for square matrices only.
  • You will end up with two systems of equations to solve. One is to be solved for a and b, and the other is to be solved for c and d.
  • Their solutions will generate the elements of the matrix that can be used to reflect an object in the x-axis under matrix multiplication.