1. The projection onto the x-axis given by T(x,y)=(x,0)
2. Reflection about the -axis
3. Reflection about the line y=x
4. Reflection about the y-axis
5. Counter-clockwise rotation by radians
6. Clockwise rotation by radians
A. [(0,-1), (1,0)]
B. [(-1,0), (0,1)]
C. [(1,0), (0,-1)]
D. [(0,1), (1,0)]
E. [(0,1), (-1,0)]
F. [(1,0), (0,0)]
G. None of the above
Could anyone explain this for me?
Matrix really hard :(
Linear Transformation with 2x2 Matrix Basis?
2013-10-05 5:48 am
回答 (1)
2013-10-05 8:09 am
✔ 最佳答案
See where (1, 0) and (0, 1) are mapped...(Let T be the given transformation.)
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1) T(1, 0) = (1, 0) and T(0, 1) = (0, 0).
==> Choice F.
2) Assuming reflection about the x-axis:
T(1, 0) = (1, 0) and T(0, 1) = (0, -1).
==> Choice C.
3) T(1, 0) = (0, 1) and T(0, 1) = (1, 0).
==> Choice D.
4) T(1, 0) = (-1, 0) and T(0, 1) = (0, 1).
==> Choice B.
5/6) The number of radians are not given.
(Try to do these geometrically.)
I hope this helps!
收錄日期: 2021-04-13 22:09:58
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