To every linear transformation T from R² to R², there is an associated 2×2 matrix. Match the following linear transformations with their associated matrix.

1. Reflection about the x-axis
2. The projection onto the x-axis given by T(x, y)=(x, 0)
3. Counter-clockwise rotation by π/2 radians
4. Clockwise rotation by π/2 radians
5. Reflection about the y-axis
6. Reflection about the line y=x

A. (-1 0
0 1)
B. (0 1
-1 0)
C. (0 1
1 0)
D. (1 0
0 0)
E. (0 -1
1 0)
F. (1 0
0 -1)
G. None of the above

Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels. ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0