To every linear transformation T from R2 to R2 there is an a

To every linear transformation T from R^2 to R^2, there is an associated 2 times 2 matrix. Match the following linear transformations with their associated matrix. 1. Reflection about the y-axis 2. Reflection about the x-axis 3. Counter-clockwise rotation by pi/2 radians 4. Reflection about the line y = x 5. Clockwise rotation by pi/2 radians 6. The projection onto the x-axis given by T(x, y) = (x, 0) A. (-1 0 0 1) B. (0 1 -1 0) C. (1 0 -1 1) D. (0 1 -1 1) E. (0 1 1 0) G. None of the above

Solution

Reflction about y axis --- A

Reflection about x axis ---- C

Counterclockwise rotaion by 90 deg --- D

Reflcetion alog line y = x ---E

Clockwise rotaion by 90 deg---- B