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Mathematics, 10.03.2020 09:07 chevysilveradofixit

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

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To every linear transformation T from R² to R², there is an associated 2×2 matrix. Match the followi...
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