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Linear Algebra: Matrix Transformation

  1. Jun 24, 2016 #1
    1. The problem statement, all variables and given/known data
    Find the matrix that represents a rotation counterclockwise around the origin by 75 degrees followed by a reflection about the x-axis

    2. Relevant equations
    I know that for A rotated counter clockwise you use the 2x2 matirx [cos(theta), -sin(theta)] [sin(theta, cos(theta)] and for a reflection about the x-axis you use the 2x2 matrix [1,0] [0,-1].

    3. The attempt at a solution
    To be perfectly honest, I am unsure what to do with this information. I don't want the problem solved i just need some guidance, please!
  2. jcsd
  3. Jun 24, 2016 #2


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    Why don't you take each transformation in turn by itself? You should be able to examine your result and figure out how to make a composite transformation matrix from individual transformation matrices.
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