The matrix that rotates the axis vectors (1, 0) and (0, 1) through an angle is...

  

Transcribed Image Text:

The matrix that rotates the axis vectors (1, 0) and (0, 1) through an angle is Q. What are the coordinates (a, b) of the original (1, 0) using the new (rotated) axes? This inverse can be tricky. Draw a figure or solve for a and b: [cost -sine] = sine cos 1 [cost] = a +b sine -sino] cos The matrix that rotates the axis vectors (1, 0) and (0, 1) through an angle is Q. What are the coordinates (a, b) of the original (1, 0) using the new (rotated) axes? This inverse can be tricky. Draw a figure or solve for a and b: [cost -sine] = sine cos 1 [cost] = a +b sine -sino] cos